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Finding the Fourth Proportional to 454.16, 680.58 and 248.78

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Solution

The fourth proportional to 454.16, 680.58 and 248.78 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.16 : 680.58 = 248.78 : x
  2. Step 2: Convert to fraction form
    454.16/680.58 = 248.78/x
  3. Step 3: Cross multiply
    454.16x = 680.58 × 248.78
  4. Step 4: Simplify right side
    454.16x = 169,314.69
  5. Step 5: Solve for x
    x = 169,314.69/454.16
  6. Step 6: Final answer
    x = 372.81

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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.