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Finding the Fourth Proportional to 118.22, 177.14 and 100.22

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Solution

The fourth proportional to 118.22, 177.14 and 100.22 is: 150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.22 : 177.14 = 100.22 : x
  2. Step 2: Convert to fraction form
    118.22/177.14 = 100.22/x
  3. Step 3: Cross multiply
    118.22x = 177.14 × 100.22
  4. Step 4: Simplify right side
    118.22x = 17,752.97
  5. Step 5: Solve for x
    x = 17,752.97/118.22
  6. Step 6: Final answer
    x = 150.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.