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Finding the Fourth Proportional to 253.43, 378.50 and 230.75

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Solution

The fourth proportional to 253.43, 378.50 and 230.75 is: 344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.43 : 378.50 = 230.75 : x
  2. Step 2: Convert to fraction form
    253.43/378.50 = 230.75/x
  3. Step 3: Cross multiply
    253.43x = 378.50 × 230.75
  4. Step 4: Simplify right side
    253.43x = 87,335.83
  5. Step 5: Solve for x
    x = 87,335.83/253.43
  6. Step 6: Final answer
    x = 344.62

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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.