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Finding the Fourth Proportional to 159.49, 220.09 and 103.53

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Solution

The fourth proportional to 159.49, 220.09 and 103.53 is: 142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.49 : 220.09 = 103.53 : x
  2. Step 2: Convert to fraction form
    159.49/220.09 = 103.53/x
  3. Step 3: Cross multiply
    159.49x = 220.09 × 103.53
  4. Step 4: Simplify right side
    159.49x = 22,785.92
  5. Step 5: Solve for x
    x = 22,785.92/159.49
  6. Step 6: Final answer
    x = 142.87

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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.