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Finding the Fourth Proportional to 149.42, 222.38 and 148.97

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Solution

The fourth proportional to 149.42, 222.38 and 148.97 is: 221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.42 : 222.38 = 148.97 : x
  2. Step 2: Convert to fraction form
    149.42/222.38 = 148.97/x
  3. Step 3: Cross multiply
    149.42x = 222.38 × 148.97
  4. Step 4: Simplify right side
    149.42x = 33,127.76
  5. Step 5: Solve for x
    x = 33,127.76/149.42
  6. Step 6: Final answer
    x = 221.71

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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.