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Finding the Fourth Proportional to 253.80, 347.96 and 249.17

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Solution

The fourth proportional to 253.80, 347.96 and 249.17 is: 341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.80 : 347.96 = 249.17 : x
  2. Step 2: Convert to fraction form
    253.80/347.96 = 249.17/x
  3. Step 3: Cross multiply
    253.80x = 347.96 × 249.17
  4. Step 4: Simplify right side
    253.80x = 86,701.19
  5. Step 5: Solve for x
    x = 86,701.19/253.80
  6. Step 6: Final answer
    x = 341.61

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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.