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Finding the Fourth Proportional to 232.13, 320.35 and 128.65

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Solution

The fourth proportional to 232.13, 320.35 and 128.65 is: 177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 320.35 = 128.65 : x
  2. Step 2: Convert to fraction form
    232.13/320.35 = 128.65/x
  3. Step 3: Cross multiply
    232.13x = 320.35 × 128.65
  4. Step 4: Simplify right side
    232.13x = 41,211.75
  5. Step 5: Solve for x
    x = 41,211.75/232.13
  6. Step 6: Final answer
    x = 177.54

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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.