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Finding the Fourth Proportional to 220.59, 329.40 and 180.09

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Solution

The fourth proportional to 220.59, 329.40 and 180.09 is: 268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.59 : 329.40 = 180.09 : x
  2. Step 2: Convert to fraction form
    220.59/329.40 = 180.09/x
  3. Step 3: Cross multiply
    220.59x = 329.40 × 180.09
  4. Step 4: Simplify right side
    220.59x = 59,321.65
  5. Step 5: Solve for x
    x = 59,321.65/220.59
  6. Step 6: Final answer
    x = 268.92

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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.