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Finding the Fourth Proportional to 249.78, 344.64 and 175.98

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Solution

The fourth proportional to 249.78, 344.64 and 175.98 is: 242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.78 : 344.64 = 175.98 : x
  2. Step 2: Convert to fraction form
    249.78/344.64 = 175.98/x
  3. Step 3: Cross multiply
    249.78x = 344.64 × 175.98
  4. Step 4: Simplify right side
    249.78x = 60,649.75
  5. Step 5: Solve for x
    x = 60,649.75/249.78
  6. Step 6: Final answer
    x = 242.81

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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.