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Finding the Fourth Proportional to 299.68, 446.76 and 296.96

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Solution

The fourth proportional to 299.68, 446.76 and 296.96 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 446.76 = 296.96 : x
  2. Step 2: Convert to fraction form
    299.68/446.76 = 296.96/x
  3. Step 3: Cross multiply
    299.68x = 446.76 × 296.96
  4. Step 4: Simplify right side
    299.68x = 132,669.85
  5. Step 5: Solve for x
    x = 132,669.85/299.68
  6. Step 6: Final answer
    x = 442.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.