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Finding the Fourth Proportional to 220.62, 331 and 98.86

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Solution

The fourth proportional to 220.62, 331 and 98.86 is: 148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.62 : 331 = 98.86 : x
  2. Step 2: Convert to fraction form
    220.62/331 = 98.86/x
  3. Step 3: Cross multiply
    220.62x = 331 × 98.86
  4. Step 4: Simplify right side
    220.62x = 32,722.66
  5. Step 5: Solve for x
    x = 32,722.66/220.62
  6. Step 6: Final answer
    x = 148.32

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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.