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Finding the Fourth Proportional to 299.59, 447.77 and 270.24

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Solution

The fourth proportional to 299.59, 447.77 and 270.24 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.59 : 447.77 = 270.24 : x
  2. Step 2: Convert to fraction form
    299.59/447.77 = 270.24/x
  3. Step 3: Cross multiply
    299.59x = 447.77 × 270.24
  4. Step 4: Simplify right side
    299.59x = 121,001.77
  5. Step 5: Solve for x
    x = 121,001.77/299.59
  6. Step 6: Final answer
    x = 403.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.