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Finding the Fourth Proportional to 510.08, 764.58 and 293.20

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Solution

The fourth proportional to 510.08, 764.58 and 293.20 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.08 : 764.58 = 293.20 : x
  2. Step 2: Convert to fraction form
    510.08/764.58 = 293.20/x
  3. Step 3: Cross multiply
    510.08x = 764.58 × 293.20
  4. Step 4: Simplify right side
    510.08x = 224,174.86
  5. Step 5: Solve for x
    x = 224,174.86/510.08
  6. Step 6: Final answer
    x = 439.49

Related Problems

Find fourth proportional to 255.04, 382.29 and 146.60
Half scale
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Double scale
Find fourth proportional to 511.08, 766.08 and 294.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.