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Finding the Fourth Proportional to 159.28, 219.92 and 120.64

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Solution

The fourth proportional to 159.28, 219.92 and 120.64 is: 166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.28 : 219.92 = 120.64 : x
  2. Step 2: Convert to fraction form
    159.28/219.92 = 120.64/x
  3. Step 3: Cross multiply
    159.28x = 219.92 × 120.64
  4. Step 4: Simplify right side
    159.28x = 26,531.15
  5. Step 5: Solve for x
    x = 26,531.15/159.28
  6. Step 6: Final answer
    x = 166.57

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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.