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Finding the Fourth Proportional to 221.81, 305.96 and 159.50

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Solution

The fourth proportional to 221.81, 305.96 and 159.50 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.81 : 305.96 = 159.50 : x
  2. Step 2: Convert to fraction form
    221.81/305.96 = 159.50/x
  3. Step 3: Cross multiply
    221.81x = 305.96 × 159.50
  4. Step 4: Simplify right side
    221.81x = 48,801.78
  5. Step 5: Solve for x
    x = 48,801.78/221.81
  6. Step 6: Final answer
    x = 220.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.