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Finding the Fourth Proportional to 159.78, 220.36 and 107.29

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Solution

The fourth proportional to 159.78, 220.36 and 107.29 is: 147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.78 : 220.36 = 107.29 : x
  2. Step 2: Convert to fraction form
    159.78/220.36 = 107.29/x
  3. Step 3: Cross multiply
    159.78x = 220.36 × 107.29
  4. Step 4: Simplify right side
    159.78x = 23,641.61
  5. Step 5: Solve for x
    x = 23,641.61/159.78
  6. Step 6: Final answer
    x = 147.96

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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.