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Finding the Fourth Proportional to 153.35, 229.61 and 126.42

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Solution

The fourth proportional to 153.35, 229.61 and 126.42 is: 189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.35 : 229.61 = 126.42 : x
  2. Step 2: Convert to fraction form
    153.35/229.61 = 126.42/x
  3. Step 3: Cross multiply
    153.35x = 229.61 × 126.42
  4. Step 4: Simplify right side
    153.35x = 29,027.30
  5. Step 5: Solve for x
    x = 29,027.30/153.35
  6. Step 6: Final answer
    x = 189.29

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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.