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Finding the Fourth Proportional to 140.07, 209.16 and 114.44

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Solution

The fourth proportional to 140.07, 209.16 and 114.44 is: 170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.07 : 209.16 = 114.44 : x
  2. Step 2: Convert to fraction form
    140.07/209.16 = 114.44/x
  3. Step 3: Cross multiply
    140.07x = 209.16 × 114.44
  4. Step 4: Simplify right side
    140.07x = 23,937.72
  5. Step 5: Solve for x
    x = 23,937.72/140.07
  6. Step 6: Final answer
    x = 170.89

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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.