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Finding the Fourth Proportional to 220.10, 330.21 and 75.80

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Solution

The fourth proportional to 220.10, 330.21 and 75.80 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.10 : 330.21 = 75.80 : x
  2. Step 2: Convert to fraction form
    220.10/330.21 = 75.80/x
  3. Step 3: Cross multiply
    220.10x = 330.21 × 75.80
  4. Step 4: Simplify right side
    220.10x = 25,030.74
  5. Step 5: Solve for x
    x = 25,030.74/220.10
  6. Step 6: Final answer
    x = 113.73

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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.