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Finding the Fourth Proportional to 454.04, 680.17 and 299.50

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Solution

The fourth proportional to 454.04, 680.17 and 299.50 is: 448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.04 : 680.17 = 299.50 : x
  2. Step 2: Convert to fraction form
    454.04/680.17 = 299.50/x
  3. Step 3: Cross multiply
    454.04x = 680.17 × 299.50
  4. Step 4: Simplify right side
    454.04x = 203,708.67
  5. Step 5: Solve for x
    x = 203,708.67/454.04
  6. Step 6: Final answer
    x = 448.66

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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.