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Finding the Fourth Proportional to 158.72, 239.16 and 157.76

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Solution

The fourth proportional to 158.72, 239.16 and 157.76 is: 237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.72 : 239.16 = 157.76 : x
  2. Step 2: Convert to fraction form
    158.72/239.16 = 157.76/x
  3. Step 3: Cross multiply
    158.72x = 239.16 × 157.76
  4. Step 4: Simplify right side
    158.72x = 37,729.88
  5. Step 5: Solve for x
    x = 37,729.88/158.72
  6. Step 6: Final answer
    x = 237.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.