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Finding the Fourth Proportional to 249.64, 374.38 and 208.78

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Solution

The fourth proportional to 249.64, 374.38 and 208.78 is: 313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.64 : 374.38 = 208.78 : x
  2. Step 2: Convert to fraction form
    249.64/374.38 = 208.78/x
  3. Step 3: Cross multiply
    249.64x = 374.38 × 208.78
  4. Step 4: Simplify right side
    249.64x = 78,161.60
  5. Step 5: Solve for x
    x = 78,161.60/249.64
  6. Step 6: Final answer
    x = 313.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.