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Finding the Fourth Proportional to 203.27, 279.89 and 159.19

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Solution

The fourth proportional to 203.27, 279.89 and 159.19 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.27 : 279.89 = 159.19 : x
  2. Step 2: Convert to fraction form
    203.27/279.89 = 159.19/x
  3. Step 3: Cross multiply
    203.27x = 279.89 × 159.19
  4. Step 4: Simplify right side
    203.27x = 44,555.69
  5. Step 5: Solve for x
    x = 44,555.69/203.27
  6. Step 6: Final answer
    x = 219.19

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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.