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Finding the Fourth Proportional to 356.80, 534.69 and 140.13

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Solution

The fourth proportional to 356.80, 534.69 and 140.13 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 534.69 = 140.13 : x
  2. Step 2: Convert to fraction form
    356.80/534.69 = 140.13/x
  3. Step 3: Cross multiply
    356.80x = 534.69 × 140.13
  4. Step 4: Simplify right side
    356.80x = 74,926.11
  5. Step 5: Solve for x
    x = 74,926.11/356.80
  6. Step 6: Final answer
    x = 209.99

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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.