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Finding the Fourth Proportional to 220.01, 329.45 and 174.65

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Solution

The fourth proportional to 220.01, 329.45 and 174.65 is: 261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.01 : 329.45 = 174.65 : x
  2. Step 2: Convert to fraction form
    220.01/329.45 = 174.65/x
  3. Step 3: Cross multiply
    220.01x = 329.45 × 174.65
  4. Step 4: Simplify right side
    220.01x = 57,535.92
  5. Step 5: Solve for x
    x = 57,535.92/220.01
  6. Step 6: Final answer
    x = 261.52

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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.