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Finding the Fourth Proportional to 221.79, 332.15 and 173.91

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Solution

The fourth proportional to 221.79, 332.15 and 173.91 is: 260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.79 : 332.15 = 173.91 : x
  2. Step 2: Convert to fraction form
    221.79/332.15 = 173.91/x
  3. Step 3: Cross multiply
    221.79x = 332.15 × 173.91
  4. Step 4: Simplify right side
    221.79x = 57,763.34
  5. Step 5: Solve for x
    x = 57,763.34/221.79
  6. Step 6: Final answer
    x = 260.44

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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.