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Finding the Fourth Proportional to 118.54, 162.46 and 116.86

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Solution

The fourth proportional to 118.54, 162.46 and 116.86 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.54 : 162.46 = 116.86 : x
  2. Step 2: Convert to fraction form
    118.54/162.46 = 116.86/x
  3. Step 3: Cross multiply
    118.54x = 162.46 × 116.86
  4. Step 4: Simplify right side
    118.54x = 18,985.08
  5. Step 5: Solve for x
    x = 18,985.08/118.54
  6. Step 6: Final answer
    x = 160.16

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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.