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Finding the Fourth Proportional to 155.09, 232.80 and 82.97

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Solution

The fourth proportional to 155.09, 232.80 and 82.97 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.09 : 232.80 = 82.97 : x
  2. Step 2: Convert to fraction form
    155.09/232.80 = 82.97/x
  3. Step 3: Cross multiply
    155.09x = 232.80 × 82.97
  4. Step 4: Simplify right side
    155.09x = 19,315.42
  5. Step 5: Solve for x
    x = 19,315.42/155.09
  6. Step 6: Final answer
    x = 124.54

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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.