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Finding the Fourth Proportional to 218.90, 329.10 and 189.20

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Solution

The fourth proportional to 218.90, 329.10 and 189.20 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.90 : 329.10 = 189.20 : x
  2. Step 2: Convert to fraction form
    218.90/329.10 = 189.20/x
  3. Step 3: Cross multiply
    218.90x = 329.10 × 189.20
  4. Step 4: Simplify right side
    218.90x = 62,265.72
  5. Step 5: Solve for x
    x = 62,265.72/218.90
  6. Step 6: Final answer
    x = 284.45

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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.