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Finding the Fourth Proportional to 153.76, 229.68 and 129.48

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Solution

The fourth proportional to 153.76, 229.68 and 129.48 is: 193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.76 : 229.68 = 129.48 : x
  2. Step 2: Convert to fraction form
    153.76/229.68 = 129.48/x
  3. Step 3: Cross multiply
    153.76x = 229.68 × 129.48
  4. Step 4: Simplify right side
    153.76x = 29,738.97
  5. Step 5: Solve for x
    x = 29,738.97/153.76
  6. Step 6: Final answer
    x = 193.41

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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.