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Finding the Fourth Proportional to 159.42, 219.75 and 104.13

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Solution

The fourth proportional to 159.42, 219.75 and 104.13 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 219.75 = 104.13 : x
  2. Step 2: Convert to fraction form
    159.42/219.75 = 104.13/x
  3. Step 3: Cross multiply
    159.42x = 219.75 × 104.13
  4. Step 4: Simplify right side
    159.42x = 22,882.57
  5. Step 5: Solve for x
    x = 22,882.57/159.42
  6. Step 6: Final answer
    x = 143.54

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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.