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Finding the Fourth Proportional to 221.83, 332.98 and 196.31

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Solution

The fourth proportional to 221.83, 332.98 and 196.31 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.83 : 332.98 = 196.31 : x
  2. Step 2: Convert to fraction form
    221.83/332.98 = 196.31/x
  3. Step 3: Cross multiply
    221.83x = 332.98 × 196.31
  4. Step 4: Simplify right side
    221.83x = 65,366.32
  5. Step 5: Solve for x
    x = 65,366.32/221.83
  6. Step 6: Final answer
    x = 294.68

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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.