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Finding the Fourth Proportional to 253.94, 378.47 and 253.48

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Solution

The fourth proportional to 253.94, 378.47 and 253.48 is: 377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.94 : 378.47 = 253.48 : x
  2. Step 2: Convert to fraction form
    253.94/378.47 = 253.48/x
  3. Step 3: Cross multiply
    253.94x = 378.47 × 253.48
  4. Step 4: Simplify right side
    253.94x = 95,934.97
  5. Step 5: Solve for x
    x = 95,934.97/253.94
  6. Step 6: Final answer
    x = 377.79

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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.