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Finding the Fourth Proportional to 120.61, 167.17 and 118.65

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Solution

The fourth proportional to 120.61, 167.17 and 118.65 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.61 : 167.17 = 118.65 : x
  2. Step 2: Convert to fraction form
    120.61/167.17 = 118.65/x
  3. Step 3: Cross multiply
    120.61x = 167.17 × 118.65
  4. Step 4: Simplify right side
    120.61x = 19,834.72
  5. Step 5: Solve for x
    x = 19,834.72/120.61
  6. Step 6: Final answer
    x = 164.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.