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Finding the Fourth Proportional to 118.04, 161.80 and 116.16

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Solution

The fourth proportional to 118.04, 161.80 and 116.16 is: 159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.04 : 161.80 = 116.16 : x
  2. Step 2: Convert to fraction form
    118.04/161.80 = 116.16/x
  3. Step 3: Cross multiply
    118.04x = 161.80 × 116.16
  4. Step 4: Simplify right side
    118.04x = 18,794.69
  5. Step 5: Solve for x
    x = 18,794.69/118.04
  6. Step 6: Final answer
    x = 159.22

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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.