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Finding the Fourth Proportional to 118.48, 164.19 and 116.32

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Solution

The fourth proportional to 118.48, 164.19 and 116.32 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.48 : 164.19 = 116.32 : x
  2. Step 2: Convert to fraction form
    118.48/164.19 = 116.32/x
  3. Step 3: Cross multiply
    118.48x = 164.19 × 116.32
  4. Step 4: Simplify right side
    118.48x = 19,098.58
  5. Step 5: Solve for x
    x = 19,098.58/118.48
  6. Step 6: Final answer
    x = 161.20

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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.