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Finding the Fourth Proportional to 334.54, 502.26 and 197.72

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Solution

The fourth proportional to 334.54, 502.26 and 197.72 is: 296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.54 : 502.26 = 197.72 : x
  2. Step 2: Convert to fraction form
    334.54/502.26 = 197.72/x
  3. Step 3: Cross multiply
    334.54x = 502.26 × 197.72
  4. Step 4: Simplify right side
    334.54x = 99,306.85
  5. Step 5: Solve for x
    x = 99,306.85/334.54
  6. Step 6: Final answer
    x = 296.85

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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.