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Finding the Fourth Proportional to 510.78, 705.20 and 336.42

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Solution

The fourth proportional to 510.78, 705.20 and 336.42 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 705.20 = 336.42 : x
  2. Step 2: Convert to fraction form
    510.78/705.20 = 336.42/x
  3. Step 3: Cross multiply
    510.78x = 705.20 × 336.42
  4. Step 4: Simplify right side
    510.78x = 237,243.38
  5. Step 5: Solve for x
    x = 237,243.38/510.78
  6. Step 6: Final answer
    x = 464.47

Related Problems

Find fourth proportional to 255.39, 352.60 and 168.21
Half scale
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Double scale
Find fourth proportional to 511.78, 706.58 and 337.42
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.