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Finding the Fourth Proportional to 140.35, 209.50 and 131.23

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Solution

The fourth proportional to 140.35, 209.50 and 131.23 is: 195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.35 : 209.50 = 131.23 : x
  2. Step 2: Convert to fraction form
    140.35/209.50 = 131.23/x
  3. Step 3: Cross multiply
    140.35x = 209.50 × 131.23
  4. Step 4: Simplify right side
    140.35x = 27,492.69
  5. Step 5: Solve for x
    x = 27,492.69/140.35
  6. Step 6: Final answer
    x = 195.89

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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.