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Finding the Fourth Proportional to 159.40, 220.26 and 120.52

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Solution

The fourth proportional to 159.40, 220.26 and 120.52 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.40 : 220.26 = 120.52 : x
  2. Step 2: Convert to fraction form
    159.40/220.26 = 120.52/x
  3. Step 3: Cross multiply
    159.40x = 220.26 × 120.52
  4. Step 4: Simplify right side
    159.40x = 26,545.74
  5. Step 5: Solve for x
    x = 26,545.74/159.40
  6. Step 6: Final answer
    x = 166.54

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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.