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Finding the Fourth Proportional to 140.76, 212.04 and 140.40

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Solution

The fourth proportional to 140.76, 212.04 and 140.40 is: 211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 212.04 = 140.40 : x
  2. Step 2: Convert to fraction form
    140.76/212.04 = 140.40/x
  3. Step 3: Cross multiply
    140.76x = 212.04 × 140.40
  4. Step 4: Simplify right side
    140.76x = 29,770.42
  5. Step 5: Solve for x
    x = 29,770.42/140.76
  6. Step 6: Final answer
    x = 211.50

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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.