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Finding the Fourth Proportional to 299.23, 449.07 and 162.31

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Solution

The fourth proportional to 299.23, 449.07 and 162.31 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 449.07 = 162.31 : x
  2. Step 2: Convert to fraction form
    299.23/449.07 = 162.31/x
  3. Step 3: Cross multiply
    299.23x = 449.07 × 162.31
  4. Step 4: Simplify right side
    299.23x = 72,888.55
  5. Step 5: Solve for x
    x = 72,888.55/299.23
  6. Step 6: Final answer
    x = 243.59

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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.