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Finding the Fourth Proportional to 261.80, 360.92 and 209.52

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Solution

The fourth proportional to 261.80, 360.92 and 209.52 is: 288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.80 : 360.92 = 209.52 : x
  2. Step 2: Convert to fraction form
    261.80/360.92 = 209.52/x
  3. Step 3: Cross multiply
    261.80x = 360.92 × 209.52
  4. Step 4: Simplify right side
    261.80x = 75,619.96
  5. Step 5: Solve for x
    x = 75,619.96/261.80
  6. Step 6: Final answer
    x = 288.85

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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.