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Finding the Fourth Proportional to 140.40, 210.80 and 113.27

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Solution

The fourth proportional to 140.40, 210.80 and 113.27 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 210.80 = 113.27 : x
  2. Step 2: Convert to fraction form
    140.40/210.80 = 113.27/x
  3. Step 3: Cross multiply
    140.40x = 210.80 × 113.27
  4. Step 4: Simplify right side
    140.40x = 23,876.55
  5. Step 5: Solve for x
    x = 23,876.55/140.40
  6. Step 6: Final answer
    x = 170.06

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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.