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Finding the Fourth Proportional to 158.46, 237.42 and 81.42

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Solution

The fourth proportional to 158.46, 237.42 and 81.42 is: 121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.46 : 237.42 = 81.42 : x
  2. Step 2: Convert to fraction form
    158.46/237.42 = 81.42/x
  3. Step 3: Cross multiply
    158.46x = 237.42 × 81.42
  4. Step 4: Simplify right side
    158.46x = 19,330.74
  5. Step 5: Solve for x
    x = 19,330.74/158.46
  6. Step 6: Final answer
    x = 121.99

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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.