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Finding the Fourth Proportional to 298.59, 448.09 and 115.97

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Solution

The fourth proportional to 298.59, 448.09 and 115.97 is: 174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 448.09 = 115.97 : x
  2. Step 2: Convert to fraction form
    298.59/448.09 = 115.97/x
  3. Step 3: Cross multiply
    298.59x = 448.09 × 115.97
  4. Step 4: Simplify right side
    298.59x = 51,963.12
  5. Step 5: Solve for x
    x = 51,963.12/298.59
  6. Step 6: Final answer
    x = 174.03

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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.