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Finding the Fourth Proportional to 220.45, 330.44 and 159.85

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Solution

The fourth proportional to 220.45, 330.44 and 159.85 is: 239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.45 : 330.44 = 159.85 : x
  2. Step 2: Convert to fraction form
    220.45/330.44 = 159.85/x
  3. Step 3: Cross multiply
    220.45x = 330.44 × 159.85
  4. Step 4: Simplify right side
    220.45x = 52,820.83
  5. Step 5: Solve for x
    x = 52,820.83/220.45
  6. Step 6: Final answer
    x = 239.60

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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.