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Finding the Fourth Proportional to 529.53, 731.35 and 361.20

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Solution

The fourth proportional to 529.53, 731.35 and 361.20 is: 498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.53 : 731.35 = 361.20 : x
  2. Step 2: Convert to fraction form
    529.53/731.35 = 361.20/x
  3. Step 3: Cross multiply
    529.53x = 731.35 × 361.20
  4. Step 4: Simplify right side
    529.53x = 264,160.87
  5. Step 5: Solve for x
    x = 264,160.87/529.53
  6. Step 6: Final answer
    x = 498.86

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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.