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Finding the Fourth Proportional to 118.80, 162.84 and 117.96

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Solution

The fourth proportional to 118.80, 162.84 and 117.96 is: 161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.80 : 162.84 = 117.96 : x
  2. Step 2: Convert to fraction form
    118.80/162.84 = 117.96/x
  3. Step 3: Cross multiply
    118.80x = 162.84 × 117.96
  4. Step 4: Simplify right side
    118.80x = 19,208.61
  5. Step 5: Solve for x
    x = 19,208.61/118.80
  6. Step 6: Final answer
    x = 161.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.