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Finding the Fourth Proportional to 244.31, 364.78 and 198.74

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Solution

The fourth proportional to 244.31, 364.78 and 198.74 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.31 : 364.78 = 198.74 : x
  2. Step 2: Convert to fraction form
    244.31/364.78 = 198.74/x
  3. Step 3: Cross multiply
    244.31x = 364.78 × 198.74
  4. Step 4: Simplify right side
    244.31x = 72,495.38
  5. Step 5: Solve for x
    x = 72,495.38/244.31
  6. Step 6: Final answer
    x = 296.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.