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Finding the Fourth Proportional to 218.89, 329.15 and 165.03

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Solution

The fourth proportional to 218.89, 329.15 and 165.03 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.89 : 329.15 = 165.03 : x
  2. Step 2: Convert to fraction form
    218.89/329.15 = 165.03/x
  3. Step 3: Cross multiply
    218.89x = 329.15 × 165.03
  4. Step 4: Simplify right side
    218.89x = 54,319.62
  5. Step 5: Solve for x
    x = 54,319.62/218.89
  6. Step 6: Final answer
    x = 248.16

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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.