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Finding the Fourth Proportional to 454, 680.46 and 193.92

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Solution

The fourth proportional to 454, 680.46 and 193.92 is: 290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454 : 680.46 = 193.92 : x
  2. Step 2: Convert to fraction form
    454/680.46 = 193.92/x
  3. Step 3: Cross multiply
    454x = 680.46 × 193.92
  4. Step 4: Simplify right side
    454x = 131,954.80
  5. Step 5: Solve for x
    x = 131,954.80/454
  6. Step 6: Final answer
    x = 290.65

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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.