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Finding the Fourth Proportional to 334.37, 502.50 and 197.48

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Solution

The fourth proportional to 334.37, 502.50 and 197.48 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.37 : 502.50 = 197.48 : x
  2. Step 2: Convert to fraction form
    334.37/502.50 = 197.48/x
  3. Step 3: Cross multiply
    334.37x = 502.50 × 197.48
  4. Step 4: Simplify right side
    334.37x = 99,233.70
  5. Step 5: Solve for x
    x = 99,233.70/334.37
  6. Step 6: Final answer
    x = 296.78

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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.