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Finding the Fourth Proportional to 253.28, 347.68 and 238.88

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Solution

The fourth proportional to 253.28, 347.68 and 238.88 is: 327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.28 : 347.68 = 238.88 : x
  2. Step 2: Convert to fraction form
    253.28/347.68 = 238.88/x
  3. Step 3: Cross multiply
    253.28x = 347.68 × 238.88
  4. Step 4: Simplify right side
    253.28x = 83,053.80
  5. Step 5: Solve for x
    x = 83,053.80/253.28
  6. Step 6: Final answer
    x = 327.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.