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Finding the Fourth Proportional to 237.52, 355.92 and 155.20

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Solution

The fourth proportional to 237.52, 355.92 and 155.20 is: 232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.52 : 355.92 = 155.20 : x
  2. Step 2: Convert to fraction form
    237.52/355.92 = 155.20/x
  3. Step 3: Cross multiply
    237.52x = 355.92 × 155.20
  4. Step 4: Simplify right side
    237.52x = 55,238.78
  5. Step 5: Solve for x
    x = 55,238.78/237.52
  6. Step 6: Final answer
    x = 232.56

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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.