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Finding the Fourth Proportional to 159.54, 220.27 and 122.79

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Solution

The fourth proportional to 159.54, 220.27 and 122.79 is: 169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 220.27 = 122.79 : x
  2. Step 2: Convert to fraction form
    159.54/220.27 = 122.79/x
  3. Step 3: Cross multiply
    159.54x = 220.27 × 122.79
  4. Step 4: Simplify right side
    159.54x = 27,047.08
  5. Step 5: Solve for x
    x = 27,047.08/159.54
  6. Step 6: Final answer
    x = 169.53

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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.