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Finding the Fourth Proportional to 253.33, 349.97 and 200.71

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Solution

The fourth proportional to 253.33, 349.97 and 200.71 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.33 : 349.97 = 200.71 : x
  2. Step 2: Convert to fraction form
    253.33/349.97 = 200.71/x
  3. Step 3: Cross multiply
    253.33x = 349.97 × 200.71
  4. Step 4: Simplify right side
    253.33x = 70,240.73
  5. Step 5: Solve for x
    x = 70,240.73/253.33
  6. Step 6: Final answer
    x = 277.27

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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.