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Finding the Fourth Proportional to 279.65, 386.37 and 263.25

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Solution

The fourth proportional to 279.65, 386.37 and 263.25 is: 363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.65 : 386.37 = 263.25 : x
  2. Step 2: Convert to fraction form
    279.65/386.37 = 263.25/x
  3. Step 3: Cross multiply
    279.65x = 386.37 × 263.25
  4. Step 4: Simplify right side
    279.65x = 101,711.90
  5. Step 5: Solve for x
    x = 101,711.90/279.65
  6. Step 6: Final answer
    x = 363.71

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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.