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Finding the Fourth Proportional to 159.75, 220.48 and 104.65

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Solution

The fourth proportional to 159.75, 220.48 and 104.65 is: 144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 220.48 = 104.65 : x
  2. Step 2: Convert to fraction form
    159.75/220.48 = 104.65/x
  3. Step 3: Cross multiply
    159.75x = 220.48 × 104.65
  4. Step 4: Simplify right side
    159.75x = 23,071.61
  5. Step 5: Solve for x
    x = 23,071.61/159.75
  6. Step 6: Final answer
    x = 144.42

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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.