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Finding the Fourth Proportional to 531.53, 796.90 and 271.32

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Solution

The fourth proportional to 531.53, 796.90 and 271.32 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.53 : 796.90 = 271.32 : x
  2. Step 2: Convert to fraction form
    531.53/796.90 = 271.32/x
  3. Step 3: Cross multiply
    531.53x = 796.90 × 271.32
  4. Step 4: Simplify right side
    531.53x = 216,214.91
  5. Step 5: Solve for x
    x = 216,214.91/531.53
  6. Step 6: Final answer
    x = 406.78

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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.