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Finding the Fourth Proportional to 253.98, 345.78 and 249.66

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Solution

The fourth proportional to 253.98, 345.78 and 249.66 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 345.78 = 249.66 : x
  2. Step 2: Convert to fraction form
    253.98/345.78 = 249.66/x
  3. Step 3: Cross multiply
    253.98x = 345.78 × 249.66
  4. Step 4: Simplify right side
    253.98x = 86,327.43
  5. Step 5: Solve for x
    x = 86,327.43/253.98
  6. Step 6: Final answer
    x = 339.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.