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Finding the Fourth Proportional to 134.38, 200.40 and 118.22

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Solution

The fourth proportional to 134.38, 200.40 and 118.22 is: 176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.38 : 200.40 = 118.22 : x
  2. Step 2: Convert to fraction form
    134.38/200.40 = 118.22/x
  3. Step 3: Cross multiply
    134.38x = 200.40 × 118.22
  4. Step 4: Simplify right side
    134.38x = 23,691.29
  5. Step 5: Solve for x
    x = 23,691.29/134.38
  6. Step 6: Final answer
    x = 176.30

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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.