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Finding the Fourth Proportional to 149.34, 222.74 and 140.76

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Solution

The fourth proportional to 149.34, 222.74 and 140.76 is: 209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 222.74 = 140.76 : x
  2. Step 2: Convert to fraction form
    149.34/222.74 = 140.76/x
  3. Step 3: Cross multiply
    149.34x = 222.74 × 140.76
  4. Step 4: Simplify right side
    149.34x = 31,353.79
  5. Step 5: Solve for x
    x = 31,353.79/149.34
  6. Step 6: Final answer
    x = 209.95

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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.