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Finding the Fourth Proportional to 140.48, 209.84 and 108.48

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Solution

The fourth proportional to 140.48, 209.84 and 108.48 is: 162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.48 : 209.84 = 108.48 : x
  2. Step 2: Convert to fraction form
    140.48/209.84 = 108.48/x
  3. Step 3: Cross multiply
    140.48x = 209.84 × 108.48
  4. Step 4: Simplify right side
    140.48x = 22,763.44
  5. Step 5: Solve for x
    x = 22,763.44/140.48
  6. Step 6: Final answer
    x = 162.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.