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Finding the Fourth Proportional to 118.06, 177.27 and 82.15

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Solution

The fourth proportional to 118.06, 177.27 and 82.15 is: 123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.06 : 177.27 = 82.15 : x
  2. Step 2: Convert to fraction form
    118.06/177.27 = 82.15/x
  3. Step 3: Cross multiply
    118.06x = 177.27 × 82.15
  4. Step 4: Simplify right side
    118.06x = 14,562.73
  5. Step 5: Solve for x
    x = 14,562.73/118.06
  6. Step 6: Final answer
    x = 123.35

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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.