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Finding the Fourth Proportional to 158.47, 237.41 and 142.57

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Solution

The fourth proportional to 158.47, 237.41 and 142.57 is: 213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.47 : 237.41 = 142.57 : x
  2. Step 2: Convert to fraction form
    158.47/237.41 = 142.57/x
  3. Step 3: Cross multiply
    158.47x = 237.41 × 142.57
  4. Step 4: Simplify right side
    158.47x = 33,847.54
  5. Step 5: Solve for x
    x = 33,847.54/158.47
  6. Step 6: Final answer
    x = 213.59

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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.