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Finding the Fourth Proportional to 140.87, 212.24 and 114.45

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Solution

The fourth proportional to 140.87, 212.24 and 114.45 is: 172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.87 : 212.24 = 114.45 : x
  2. Step 2: Convert to fraction form
    140.87/212.24 = 114.45/x
  3. Step 3: Cross multiply
    140.87x = 212.24 × 114.45
  4. Step 4: Simplify right side
    140.87x = 24,290.30
  5. Step 5: Solve for x
    x = 24,290.30/140.87
  6. Step 6: Final answer
    x = 172.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.