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Finding the Fourth Proportional to 504.20, 696.19 and 336.31

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Solution

The fourth proportional to 504.20, 696.19 and 336.31 is: 464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.20 : 696.19 = 336.31 : x
  2. Step 2: Convert to fraction form
    504.20/696.19 = 336.31/x
  3. Step 3: Cross multiply
    504.20x = 696.19 × 336.31
  4. Step 4: Simplify right side
    504.20x = 234,135.66
  5. Step 5: Solve for x
    x = 234,135.66/504.20
  6. Step 6: Final answer
    x = 464.38

Related Problems

Find fourth proportional to 252.10, 348.10 and 168.16
Half scale
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Double scale
Find fourth proportional to 505.20, 697.57 and 337.31
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.