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Finding the Fourth Proportional to 279.68, 385.92 and 161.64

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Solution

The fourth proportional to 279.68, 385.92 and 161.64 is: 223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.68 : 385.92 = 161.64 : x
  2. Step 2: Convert to fraction form
    279.68/385.92 = 161.64/x
  3. Step 3: Cross multiply
    279.68x = 385.92 × 161.64
  4. Step 4: Simplify right side
    279.68x = 62,380.11
  5. Step 5: Solve for x
    x = 62,380.11/279.68
  6. Step 6: Final answer
    x = 223.04

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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.