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Finding the Fourth Proportional to 148.46, 222.41 and 71.42

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Solution

The fourth proportional to 148.46, 222.41 and 71.42 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.46 : 222.41 = 71.42 : x
  2. Step 2: Convert to fraction form
    148.46/222.41 = 71.42/x
  3. Step 3: Cross multiply
    148.46x = 222.41 × 71.42
  4. Step 4: Simplify right side
    148.46x = 15,883.59
  5. Step 5: Solve for x
    x = 15,883.59/148.46
  6. Step 6: Final answer
    x = 106.99

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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.