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Finding the Fourth Proportional to 356.55, 534.90 and 140.13

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Solution

The fourth proportional to 356.55, 534.90 and 140.13 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.55 : 534.90 = 140.13 : x
  2. Step 2: Convert to fraction form
    356.55/534.90 = 140.13/x
  3. Step 3: Cross multiply
    356.55x = 534.90 × 140.13
  4. Step 4: Simplify right side
    356.55x = 74,952.86
  5. Step 5: Solve for x
    x = 74,952.86/356.55
  6. Step 6: Final answer
    x = 210.22

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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.