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Finding the Fourth Proportional to 299.72, 449.42 and 176.37

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Solution

The fourth proportional to 299.72, 449.42 and 176.37 is: 264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 449.42 = 176.37 : x
  2. Step 2: Convert to fraction form
    299.72/449.42 = 176.37/x
  3. Step 3: Cross multiply
    299.72x = 449.42 × 176.37
  4. Step 4: Simplify right side
    299.72x = 79,261.96
  5. Step 5: Solve for x
    x = 79,261.96/299.72
  6. Step 6: Final answer
    x = 264.45

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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.