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Finding the Fourth Proportional to 220.07, 330.13 and 83.12

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Solution

The fourth proportional to 220.07, 330.13 and 83.12 is: 124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.07 : 330.13 = 83.12 : x
  2. Step 2: Convert to fraction form
    220.07/330.13 = 83.12/x
  3. Step 3: Cross multiply
    220.07x = 330.13 × 83.12
  4. Step 4: Simplify right side
    220.07x = 27,438.55
  5. Step 5: Solve for x
    x = 27,438.55/220.07
  6. Step 6: Final answer
    x = 124.68

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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.