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Finding the Fourth Proportional to 148.08, 221.34 and 113.49

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Solution

The fourth proportional to 148.08, 221.34 and 113.49 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.08 : 221.34 = 113.49 : x
  2. Step 2: Convert to fraction form
    148.08/221.34 = 113.49/x
  3. Step 3: Cross multiply
    148.08x = 221.34 × 113.49
  4. Step 4: Simplify right side
    148.08x = 25,119.88
  5. Step 5: Solve for x
    x = 25,119.88/148.08
  6. Step 6: Final answer
    x = 169.64

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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.