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Finding the Fourth Proportional to 534.15, 801.92 and 361.59

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Solution

The fourth proportional to 534.15, 801.92 and 361.59 is: 542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.15 : 801.92 = 361.59 : x
  2. Step 2: Convert to fraction form
    534.15/801.92 = 361.59/x
  3. Step 3: Cross multiply
    534.15x = 801.92 × 361.59
  4. Step 4: Simplify right side
    534.15x = 289,966.25
  5. Step 5: Solve for x
    x = 289,966.25/534.15
  6. Step 6: Final answer
    x = 542.86

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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.