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Finding the Fourth Proportional to 221.40, 332.17 and 67.35

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Solution

The fourth proportional to 221.40, 332.17 and 67.35 is: 101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.40 : 332.17 = 67.35 : x
  2. Step 2: Convert to fraction form
    221.40/332.17 = 67.35/x
  3. Step 3: Cross multiply
    221.40x = 332.17 × 67.35
  4. Step 4: Simplify right side
    221.40x = 22,371.65
  5. Step 5: Solve for x
    x = 22,371.65/221.40
  6. Step 6: Final answer
    x = 101.05

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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.