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Finding the Fourth Proportional to 261.87, 359.87 and 249.83

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Solution

The fourth proportional to 261.87, 359.87 and 249.83 is: 343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.87 : 359.87 = 249.83 : x
  2. Step 2: Convert to fraction form
    261.87/359.87 = 249.83/x
  3. Step 3: Cross multiply
    261.87x = 359.87 × 249.83
  4. Step 4: Simplify right side
    261.87x = 89,903.27
  5. Step 5: Solve for x
    x = 89,903.27/261.87
  6. Step 6: Final answer
    x = 343.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.