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Finding the Fourth Proportional to 159.82, 220.33 and 120.31

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Solution

The fourth proportional to 159.82, 220.33 and 120.31 is: 165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.82 : 220.33 = 120.31 : x
  2. Step 2: Convert to fraction form
    159.82/220.33 = 120.31/x
  3. Step 3: Cross multiply
    159.82x = 220.33 × 120.31
  4. Step 4: Simplify right side
    159.82x = 26,507.90
  5. Step 5: Solve for x
    x = 26,507.90/159.82
  6. Step 6: Final answer
    x = 165.86

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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.