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Finding the Fourth Proportional to 237.12, 355.02 and 128.52

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Solution

The fourth proportional to 237.12, 355.02 and 128.52 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 355.02 = 128.52 : x
  2. Step 2: Convert to fraction form
    237.12/355.02 = 128.52/x
  3. Step 3: Cross multiply
    237.12x = 355.02 × 128.52
  4. Step 4: Simplify right side
    237.12x = 45,627.17
  5. Step 5: Solve for x
    x = 45,627.17/237.12
  6. Step 6: Final answer
    x = 192.42

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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.