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Finding the Fourth Proportional to 253.17, 349.97 and 250.84

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Solution

The fourth proportional to 253.17, 349.97 and 250.84 is: 346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.17 : 349.97 = 250.84 : x
  2. Step 2: Convert to fraction form
    253.17/349.97 = 250.84/x
  3. Step 3: Cross multiply
    253.17x = 349.97 × 250.84
  4. Step 4: Simplify right side
    253.17x = 87,786.47
  5. Step 5: Solve for x
    x = 87,786.47/253.17
  6. Step 6: Final answer
    x = 346.75

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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.