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Finding the Fourth Proportional to 221.85, 332.37 and 193.05

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Solution

The fourth proportional to 221.85, 332.37 and 193.05 is: 289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.85 : 332.37 = 193.05 : x
  2. Step 2: Convert to fraction form
    221.85/332.37 = 193.05/x
  3. Step 3: Cross multiply
    221.85x = 332.37 × 193.05
  4. Step 4: Simplify right side
    221.85x = 64,164.03
  5. Step 5: Solve for x
    x = 64,164.03/221.85
  6. Step 6: Final answer
    x = 289.22

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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.