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Finding the Fourth Proportional to 220.62, 330.84 and 139.86

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Solution

The fourth proportional to 220.62, 330.84 and 139.86 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.62 : 330.84 = 139.86 : x
  2. Step 2: Convert to fraction form
    220.62/330.84 = 139.86/x
  3. Step 3: Cross multiply
    220.62x = 330.84 × 139.86
  4. Step 4: Simplify right side
    220.62x = 46,271.28
  5. Step 5: Solve for x
    x = 46,271.28/220.62
  6. Step 6: Final answer
    x = 209.73

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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.