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Finding the Fourth Proportional to 253.84, 349.82 and 198.49

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Solution

The fourth proportional to 253.84, 349.82 and 198.49 is: 273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.84 : 349.82 = 198.49 : x
  2. Step 2: Convert to fraction form
    253.84/349.82 = 198.49/x
  3. Step 3: Cross multiply
    253.84x = 349.82 × 198.49
  4. Step 4: Simplify right side
    253.84x = 69,434.02
  5. Step 5: Solve for x
    x = 69,434.02/253.84
  6. Step 6: Final answer
    x = 273.54

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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.