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Finding the Fourth Proportional to 297.18, 409.74 and 198.72

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Solution

The fourth proportional to 297.18, 409.74 and 198.72 is: 273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 409.74 = 198.72 : x
  2. Step 2: Convert to fraction form
    297.18/409.74 = 198.72/x
  3. Step 3: Cross multiply
    297.18x = 409.74 × 198.72
  4. Step 4: Simplify right side
    297.18x = 81,423.53
  5. Step 5: Solve for x
    x = 81,423.53/297.18
  6. Step 6: Final answer
    x = 273.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.