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Finding the Fourth Proportional to 342.50, 512.69 and 197.78

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Solution

The fourth proportional to 342.50, 512.69 and 197.78 is: 296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.50 : 512.69 = 197.78 : x
  2. Step 2: Convert to fraction form
    342.50/512.69 = 197.78/x
  3. Step 3: Cross multiply
    342.50x = 512.69 × 197.78
  4. Step 4: Simplify right side
    342.50x = 101,396.28
  5. Step 5: Solve for x
    x = 101,396.28/342.50
  6. Step 6: Final answer
    x = 296.05

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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.