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Finding the Fourth Proportional to 299.32, 449.10 and 162.46

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Solution

The fourth proportional to 299.32, 449.10 and 162.46 is: 243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 449.10 = 162.46 : x
  2. Step 2: Convert to fraction form
    299.32/449.10 = 162.46/x
  3. Step 3: Cross multiply
    299.32x = 449.10 × 162.46
  4. Step 4: Simplify right side
    299.32x = 72,960.79
  5. Step 5: Solve for x
    x = 72,960.79/299.32
  6. Step 6: Final answer
    x = 243.76

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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.