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Finding the Fourth Proportional to 449.95, 674.97 and 206.53

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Solution

The fourth proportional to 449.95, 674.97 and 206.53 is: 309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.95 : 674.97 = 206.53 : x
  2. Step 2: Convert to fraction form
    449.95/674.97 = 206.53/x
  3. Step 3: Cross multiply
    449.95x = 674.97 × 206.53
  4. Step 4: Simplify right side
    449.95x = 139,401.55
  5. Step 5: Solve for x
    x = 139,401.55/449.95
  6. Step 6: Final answer
    x = 309.82

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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.