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Finding the Fourth Proportional to 197.48, 296.25 and 67.49

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Solution

The fourth proportional to 197.48, 296.25 and 67.49 is: 101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 296.25 = 67.49 : x
  2. Step 2: Convert to fraction form
    197.48/296.25 = 67.49/x
  3. Step 3: Cross multiply
    197.48x = 296.25 × 67.49
  4. Step 4: Simplify right side
    197.48x = 19,993.29
  5. Step 5: Solve for x
    x = 19,993.29/197.48
  6. Step 6: Final answer
    x = 101.24

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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.