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Finding the Fourth Proportional to 356.87, 535.17 and 140.42

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Solution

The fourth proportional to 356.87, 535.17 and 140.42 is: 210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.87 : 535.17 = 140.42 : x
  2. Step 2: Convert to fraction form
    356.87/535.17 = 140.42/x
  3. Step 3: Cross multiply
    356.87x = 535.17 × 140.42
  4. Step 4: Simplify right side
    356.87x = 75,148.57
  5. Step 5: Solve for x
    x = 75,148.57/356.87
  6. Step 6: Final answer
    x = 210.58

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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.