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Finding the Fourth Proportional to 157.25, 234.04 and 155.73

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Solution

The fourth proportional to 157.25, 234.04 and 155.73 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.25 : 234.04 = 155.73 : x
  2. Step 2: Convert to fraction form
    157.25/234.04 = 155.73/x
  3. Step 3: Cross multiply
    157.25x = 234.04 × 155.73
  4. Step 4: Simplify right side
    157.25x = 36,445.10
  5. Step 5: Solve for x
    x = 36,445.10/157.25
  6. Step 6: Final answer
    x = 231.77

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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.