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Finding the Fourth Proportional to 299.56, 446.72 and 296.83

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Solution

The fourth proportional to 299.56, 446.72 and 296.83 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 446.72 = 296.83 : x
  2. Step 2: Convert to fraction form
    299.56/446.72 = 296.83/x
  3. Step 3: Cross multiply
    299.56x = 446.72 × 296.83
  4. Step 4: Simplify right side
    299.56x = 132,599.90
  5. Step 5: Solve for x
    x = 132,599.90/299.56
  6. Step 6: Final answer
    x = 442.65

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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.