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Finding the Fourth Proportional to 118.26, 162.44 and 116.91

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Solution

The fourth proportional to 118.26, 162.44 and 116.91 is: 160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.26 : 162.44 = 116.91 : x
  2. Step 2: Convert to fraction form
    118.26/162.44 = 116.91/x
  3. Step 3: Cross multiply
    118.26x = 162.44 × 116.91
  4. Step 4: Simplify right side
    118.26x = 18,990.71
  5. Step 5: Solve for x
    x = 18,990.71/118.26
  6. Step 6: Final answer
    x = 160.58

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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.