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Finding the Fourth Proportional to 299.34, 449.82 and 177.66

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Solution

The fourth proportional to 299.34, 449.82 and 177.66 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 449.82 = 177.66 : x
  2. Step 2: Convert to fraction form
    299.34/449.82 = 177.66/x
  3. Step 3: Cross multiply
    299.34x = 449.82 × 177.66
  4. Step 4: Simplify right side
    299.34x = 79,915.02
  5. Step 5: Solve for x
    x = 79,915.02/299.34
  6. Step 6: Final answer
    x = 266.97

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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.