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Finding the Fourth Proportional to 249.41, 343.98 and 165.30

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Solution

The fourth proportional to 249.41, 343.98 and 165.30 is: 227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.41 : 343.98 = 165.30 : x
  2. Step 2: Convert to fraction form
    249.41/343.98 = 165.30/x
  3. Step 3: Cross multiply
    249.41x = 343.98 × 165.30
  4. Step 4: Simplify right side
    249.41x = 56,859.89
  5. Step 5: Solve for x
    x = 56,859.89/249.41
  6. Step 6: Final answer
    x = 227.98

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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.