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Finding the Fourth Proportional to 197.22, 296.90 and 177.38

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Solution

The fourth proportional to 197.22, 296.90 and 177.38 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.22 : 296.90 = 177.38 : x
  2. Step 2: Convert to fraction form
    197.22/296.90 = 177.38/x
  3. Step 3: Cross multiply
    197.22x = 296.90 × 177.38
  4. Step 4: Simplify right side
    197.22x = 52,661.75
  5. Step 5: Solve for x
    x = 52,661.75/197.22
  6. Step 6: Final answer
    x = 267.02

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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.