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Finding the Fourth Proportional to 299.60, 448.23 and 264.97

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Solution

The fourth proportional to 299.60, 448.23 and 264.97 is: 396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 448.23 = 264.97 : x
  2. Step 2: Convert to fraction form
    299.60/448.23 = 264.97/x
  3. Step 3: Cross multiply
    299.60x = 448.23 × 264.97
  4. Step 4: Simplify right side
    299.60x = 118,769.06
  5. Step 5: Solve for x
    x = 118,769.06/299.60
  6. Step 6: Final answer
    x = 396.43

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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.