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Finding the Fourth Proportional to 534.31, 801.63 and 274.49

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Solution

The fourth proportional to 534.31, 801.63 and 274.49 is: 411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.31 : 801.63 = 274.49 : x
  2. Step 2: Convert to fraction form
    534.31/801.63 = 274.49/x
  3. Step 3: Cross multiply
    534.31x = 801.63 × 274.49
  4. Step 4: Simplify right side
    534.31x = 220,039.42
  5. Step 5: Solve for x
    x = 220,039.42/534.31
  6. Step 6: Final answer
    x = 411.82

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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.