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Finding the Fourth Proportional to 253.97, 378.52 and 253.57

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Solution

The fourth proportional to 253.97, 378.52 and 253.57 is: 377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 378.52 = 253.57 : x
  2. Step 2: Convert to fraction form
    253.97/378.52 = 253.57/x
  3. Step 3: Cross multiply
    253.97x = 378.52 × 253.57
  4. Step 4: Simplify right side
    253.97x = 95,978.16
  5. Step 5: Solve for x
    x = 95,978.16/253.97
  6. Step 6: Final answer
    x = 377.91

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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.