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Finding the Fourth Proportional to 453.90, 680.96 and 248.42

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Solution

The fourth proportional to 453.90, 680.96 and 248.42 is: 372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.90 : 680.96 = 248.42 : x
  2. Step 2: Convert to fraction form
    453.90/680.96 = 248.42/x
  3. Step 3: Cross multiply
    453.90x = 680.96 × 248.42
  4. Step 4: Simplify right side
    453.90x = 169,159.44
  5. Step 5: Solve for x
    x = 169,159.44/453.90
  6. Step 6: Final answer
    x = 372.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.