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Finding the Fourth Proportional to 249.67, 376.13 and 195.81

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Solution

The fourth proportional to 249.67, 376.13 and 195.81 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.67 : 376.13 = 195.81 : x
  2. Step 2: Convert to fraction form
    249.67/376.13 = 195.81/x
  3. Step 3: Cross multiply
    249.67x = 376.13 × 195.81
  4. Step 4: Simplify right side
    249.67x = 73,650.02
  5. Step 5: Solve for x
    x = 73,650.02/249.67
  6. Step 6: Final answer
    x = 294.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.