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Finding the Fourth Proportional to 237.70, 356.43 and 83.61

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Solution

The fourth proportional to 237.70, 356.43 and 83.61 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.70 : 356.43 = 83.61 : x
  2. Step 2: Convert to fraction form
    237.70/356.43 = 83.61/x
  3. Step 3: Cross multiply
    237.70x = 356.43 × 83.61
  4. Step 4: Simplify right side
    237.70x = 29,801.11
  5. Step 5: Solve for x
    x = 29,801.11/237.70
  6. Step 6: Final answer
    x = 125.37

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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.