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Finding the Fourth Proportional to 299.33, 446.48 and 294.77

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Solution

The fourth proportional to 299.33, 446.48 and 294.77 is: 439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.33 : 446.48 = 294.77 : x
  2. Step 2: Convert to fraction form
    299.33/446.48 = 294.77/x
  3. Step 3: Cross multiply
    299.33x = 446.48 × 294.77
  4. Step 4: Simplify right side
    299.33x = 131,606.68
  5. Step 5: Solve for x
    x = 131,606.68/299.33
  6. Step 6: Final answer
    x = 439.68

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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.