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Finding the Fourth Proportional to 220.25, 330.31 and 66.18

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Solution

The fourth proportional to 220.25, 330.31 and 66.18 is: 99.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.25 : 330.31 = 66.18 : x
  2. Step 2: Convert to fraction form
    220.25/330.31 = 66.18/x
  3. Step 3: Cross multiply
    220.25x = 330.31 × 66.18
  4. Step 4: Simplify right side
    220.25x = 21,859.92
  5. Step 5: Solve for x
    x = 21,859.92/220.25
  6. Step 6: Final answer
    x = 99.25

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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.