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Finding the Fourth Proportional to 279.65, 385.80 and 163.19

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Solution

The fourth proportional to 279.65, 385.80 and 163.19 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.65 : 385.80 = 163.19 : x
  2. Step 2: Convert to fraction form
    279.65/385.80 = 163.19/x
  3. Step 3: Cross multiply
    279.65x = 385.80 × 163.19
  4. Step 4: Simplify right side
    279.65x = 62,958.70
  5. Step 5: Solve for x
    x = 62,958.70/279.65
  6. Step 6: Final answer
    x = 225.13

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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.