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Finding the Fourth Proportional to 218.49, 327.55 and 102.88

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Solution

The fourth proportional to 218.49, 327.55 and 102.88 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.49 : 327.55 = 102.88 : x
  2. Step 2: Convert to fraction form
    218.49/327.55 = 102.88/x
  3. Step 3: Cross multiply
    218.49x = 327.55 × 102.88
  4. Step 4: Simplify right side
    218.49x = 33,698.34
  5. Step 5: Solve for x
    x = 33,698.34/218.49
  6. Step 6: Final answer
    x = 154.23

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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.