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Finding the Fourth Proportional to 249.26, 373.40 and 197.99

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Solution

The fourth proportional to 249.26, 373.40 and 197.99 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.26 : 373.40 = 197.99 : x
  2. Step 2: Convert to fraction form
    249.26/373.40 = 197.99/x
  3. Step 3: Cross multiply
    249.26x = 373.40 × 197.99
  4. Step 4: Simplify right side
    249.26x = 73,928.48
  5. Step 5: Solve for x
    x = 73,928.48/249.26
  6. Step 6: Final answer
    x = 296.59

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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.