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Finding the Fourth Proportional to 153.38, 230.98 and 129.22

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Solution

The fourth proportional to 153.38, 230.98 and 129.22 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 230.98 = 129.22 : x
  2. Step 2: Convert to fraction form
    153.38/230.98 = 129.22/x
  3. Step 3: Cross multiply
    153.38x = 230.98 × 129.22
  4. Step 4: Simplify right side
    153.38x = 29,845.43
  5. Step 5: Solve for x
    x = 29,845.43/153.38
  6. Step 6: Final answer
    x = 194.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.