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Finding the Fourth Proportional to 155.32, 232.66 and 83

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Solution

The fourth proportional to 155.32, 232.66 and 83 is: 124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.32 : 232.66 = 83 : x
  2. Step 2: Convert to fraction form
    155.32/232.66 = 83/x
  3. Step 3: Cross multiply
    155.32x = 232.66 × 83
  4. Step 4: Simplify right side
    155.32x = 19,310.78
  5. Step 5: Solve for x
    x = 19,310.78/155.32
  6. Step 6: Final answer
    x = 124.33

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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.