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Finding the Fourth Proportional to 159.48, 220.18 and 122.57

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Solution

The fourth proportional to 159.48, 220.18 and 122.57 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 220.18 = 122.57 : x
  2. Step 2: Convert to fraction form
    159.48/220.18 = 122.57/x
  3. Step 3: Cross multiply
    159.48x = 220.18 × 122.57
  4. Step 4: Simplify right side
    159.48x = 26,987.46
  5. Step 5: Solve for x
    x = 26,987.46/159.48
  6. Step 6: Final answer
    x = 169.22

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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.