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Finding the Fourth Proportional to 220.91, 329.90 and 177.65

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Solution

The fourth proportional to 220.91, 329.90 and 177.65 is: 265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.91 : 329.90 = 177.65 : x
  2. Step 2: Convert to fraction form
    220.91/329.90 = 177.65/x
  3. Step 3: Cross multiply
    220.91x = 329.90 × 177.65
  4. Step 4: Simplify right side
    220.91x = 58,604.20
  5. Step 5: Solve for x
    x = 58,604.20/220.91
  6. Step 6: Final answer
    x = 265.29

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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.