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Finding the Fourth Proportional to 197.74, 296.89 and 111.24

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Solution

The fourth proportional to 197.74, 296.89 and 111.24 is: 167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.74 : 296.89 = 111.24 : x
  2. Step 2: Convert to fraction form
    197.74/296.89 = 111.24/x
  3. Step 3: Cross multiply
    197.74x = 296.89 × 111.24
  4. Step 4: Simplify right side
    197.74x = 33,026.04
  5. Step 5: Solve for x
    x = 33,026.04/197.74
  6. Step 6: Final answer
    x = 167.02

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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.