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Finding the Fourth Proportional to 157.31, 234.92 and 155.62

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Solution

The fourth proportional to 157.31, 234.92 and 155.62 is: 232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.31 : 234.92 = 155.62 : x
  2. Step 2: Convert to fraction form
    157.31/234.92 = 155.62/x
  3. Step 3: Cross multiply
    157.31x = 234.92 × 155.62
  4. Step 4: Simplify right side
    157.31x = 36,557.08
  5. Step 5: Solve for x
    x = 36,557.08/157.31
  6. Step 6: Final answer
    x = 232.39

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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.