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Finding the Fourth Proportional to 253.11, 377.97 and 198.39

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Solution

The fourth proportional to 253.11, 377.97 and 198.39 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.11 : 377.97 = 198.39 : x
  2. Step 2: Convert to fraction form
    253.11/377.97 = 198.39/x
  3. Step 3: Cross multiply
    253.11x = 377.97 × 198.39
  4. Step 4: Simplify right side
    253.11x = 74,985.47
  5. Step 5: Solve for x
    x = 74,985.47/253.11
  6. Step 6: Final answer
    x = 296.26

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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.