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Finding the Fourth Proportional to 159.46, 220.07 and 100.44

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Solution

The fourth proportional to 159.46, 220.07 and 100.44 is: 138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.46 : 220.07 = 100.44 : x
  2. Step 2: Convert to fraction form
    159.46/220.07 = 100.44/x
  3. Step 3: Cross multiply
    159.46x = 220.07 × 100.44
  4. Step 4: Simplify right side
    159.46x = 22,103.83
  5. Step 5: Solve for x
    x = 22,103.83/159.46
  6. Step 6: Final answer
    x = 138.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.