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Finding the Fourth Proportional to 249.05, 343.72 and 186.77

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Solution

The fourth proportional to 249.05, 343.72 and 186.77 is: 257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.05 : 343.72 = 186.77 : x
  2. Step 2: Convert to fraction form
    249.05/343.72 = 186.77/x
  3. Step 3: Cross multiply
    249.05x = 343.72 × 186.77
  4. Step 4: Simplify right side
    249.05x = 64,196.98
  5. Step 5: Solve for x
    x = 64,196.98/249.05
  6. Step 6: Final answer
    x = 257.76

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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.