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Finding the Fourth Proportional to 237.57, 356.25 and 75.21

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Solution

The fourth proportional to 237.57, 356.25 and 75.21 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.57 : 356.25 = 75.21 : x
  2. Step 2: Convert to fraction form
    237.57/356.25 = 75.21/x
  3. Step 3: Cross multiply
    237.57x = 356.25 × 75.21
  4. Step 4: Simplify right side
    237.57x = 26,791.78
  5. Step 5: Solve for x
    x = 26,791.78/237.57
  6. Step 6: Final answer
    x = 112.78

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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.