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Finding the Fourth Proportional to 158.80, 237.17 and 157.76

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Solution

The fourth proportional to 158.80, 237.17 and 157.76 is: 235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.80 : 237.17 = 157.76 : x
  2. Step 2: Convert to fraction form
    158.80/237.17 = 157.76/x
  3. Step 3: Cross multiply
    158.80x = 237.17 × 157.76
  4. Step 4: Simplify right side
    158.80x = 37,415.15
  5. Step 5: Solve for x
    x = 37,415.15/158.80
  6. Step 6: Final answer
    x = 235.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.