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Finding the Fourth Proportional to 342.94, 514.28 and 198.76

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Solution

The fourth proportional to 342.94, 514.28 and 198.76 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 514.28 = 198.76 : x
  2. Step 2: Convert to fraction form
    342.94/514.28 = 198.76/x
  3. Step 3: Cross multiply
    342.94x = 514.28 × 198.76
  4. Step 4: Simplify right side
    342.94x = 102,217.30
  5. Step 5: Solve for x
    x = 102,217.30/342.94
  6. Step 6: Final answer
    x = 298.06

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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.