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Finding the Fourth Proportional to 140.17, 209.88 and 116.23

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Solution

The fourth proportional to 140.17, 209.88 and 116.23 is: 174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.17 : 209.88 = 116.23 : x
  2. Step 2: Convert to fraction form
    140.17/209.88 = 116.23/x
  3. Step 3: Cross multiply
    140.17x = 209.88 × 116.23
  4. Step 4: Simplify right side
    140.17x = 24,394.35
  5. Step 5: Solve for x
    x = 24,394.35/140.17
  6. Step 6: Final answer
    x = 174.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.