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Finding the Fourth Proportional to 249.41, 343.95 and 179.93

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Solution

The fourth proportional to 249.41, 343.95 and 179.93 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.41 : 343.95 = 179.93 : x
  2. Step 2: Convert to fraction form
    249.41/343.95 = 179.93/x
  3. Step 3: Cross multiply
    249.41x = 343.95 × 179.93
  4. Step 4: Simplify right side
    249.41x = 61,885.20
  5. Step 5: Solve for x
    x = 61,885.20/249.41
  6. Step 6: Final answer
    x = 248.13

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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.