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Finding the Fourth Proportional to 232.69, 321.11 and 129.19

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Solution

The fourth proportional to 232.69, 321.11 and 129.19 is: 178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 321.11 = 129.19 : x
  2. Step 2: Convert to fraction form
    232.69/321.11 = 129.19/x
  3. Step 3: Cross multiply
    232.69x = 321.11 × 129.19
  4. Step 4: Simplify right side
    232.69x = 41,483.72
  5. Step 5: Solve for x
    x = 41,483.72/232.69
  6. Step 6: Final answer
    x = 178.28

Related Problems

Find fourth proportional to 116.34, 160.56 and 64.59
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.