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Finding the Fourth Proportional to 120.82, 167.03 and 115.72

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Solution

The fourth proportional to 120.82, 167.03 and 115.72 is: 159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.82 : 167.03 = 115.72 : x
  2. Step 2: Convert to fraction form
    120.82/167.03 = 115.72/x
  3. Step 3: Cross multiply
    120.82x = 167.03 × 115.72
  4. Step 4: Simplify right side
    120.82x = 19,328.71
  5. Step 5: Solve for x
    x = 19,328.71/120.82
  6. Step 6: Final answer
    x = 159.98

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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.