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Finding the Fourth Proportional to 309.41, 426.98 and 198.88

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Solution

The fourth proportional to 309.41, 426.98 and 198.88 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.41 : 426.98 = 198.88 : x
  2. Step 2: Convert to fraction form
    309.41/426.98 = 198.88/x
  3. Step 3: Cross multiply
    309.41x = 426.98 × 198.88
  4. Step 4: Simplify right side
    309.41x = 84,915.72
  5. Step 5: Solve for x
    x = 84,915.72/309.41
  6. Step 6: Final answer
    x = 274.45

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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.