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Finding the Fourth Proportional to 148.79, 222.85 and 105.31

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Solution

The fourth proportional to 148.79, 222.85 and 105.31 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.79 : 222.85 = 105.31 : x
  2. Step 2: Convert to fraction form
    148.79/222.85 = 105.31/x
  3. Step 3: Cross multiply
    148.79x = 222.85 × 105.31
  4. Step 4: Simplify right side
    148.79x = 23,468.33
  5. Step 5: Solve for x
    x = 23,468.33/148.79
  6. Step 6: Final answer
    x = 157.73

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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.