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Finding the Fourth Proportional to 159.65, 220.19 and 103.57

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Solution

The fourth proportional to 159.65, 220.19 and 103.57 is: 142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.65 : 220.19 = 103.57 : x
  2. Step 2: Convert to fraction form
    159.65/220.19 = 103.57/x
  3. Step 3: Cross multiply
    159.65x = 220.19 × 103.57
  4. Step 4: Simplify right side
    159.65x = 22,805.22
  5. Step 5: Solve for x
    x = 22,805.22/159.65
  6. Step 6: Final answer
    x = 142.85

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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.