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Finding the Fourth Proportional to 274.50, 378.54 and 248.31

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Solution

The fourth proportional to 274.50, 378.54 and 248.31 is: 342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 378.54 = 248.31 : x
  2. Step 2: Convert to fraction form
    274.50/378.54 = 248.31/x
  3. Step 3: Cross multiply
    274.50x = 378.54 × 248.31
  4. Step 4: Simplify right side
    274.50x = 93,995.27
  5. Step 5: Solve for x
    x = 93,995.27/274.50
  6. Step 6: Final answer
    x = 342.42

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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.