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Finding the Fourth Proportional to 454.92, 680.28 and 338.01

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Solution

The fourth proportional to 454.92, 680.28 and 338.01 is: 505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 680.28 = 338.01 : x
  2. Step 2: Convert to fraction form
    454.92/680.28 = 338.01/x
  3. Step 3: Cross multiply
    454.92x = 680.28 × 338.01
  4. Step 4: Simplify right side
    454.92x = 229,938.04
  5. Step 5: Solve for x
    x = 229,938.04/454.92
  6. Step 6: Final answer
    x = 505.45

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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.