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Finding the Fourth Proportional to 221.87, 332.37 and 172.49

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Solution

The fourth proportional to 221.87, 332.37 and 172.49 is: 258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.87 : 332.37 = 172.49 : x
  2. Step 2: Convert to fraction form
    221.87/332.37 = 172.49/x
  3. Step 3: Cross multiply
    221.87x = 332.37 × 172.49
  4. Step 4: Simplify right side
    221.87x = 57,329.64
  5. Step 5: Solve for x
    x = 57,329.64/221.87
  6. Step 6: Final answer
    x = 258.40

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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.