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Finding the Fourth Proportional to 220.38, 328.97 and 189.60

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Solution

The fourth proportional to 220.38, 328.97 and 189.60 is: 283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.38 : 328.97 = 189.60 : x
  2. Step 2: Convert to fraction form
    220.38/328.97 = 189.60/x
  3. Step 3: Cross multiply
    220.38x = 328.97 × 189.60
  4. Step 4: Simplify right side
    220.38x = 62,372.71
  5. Step 5: Solve for x
    x = 62,372.71/220.38
  6. Step 6: Final answer
    x = 283.02

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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.