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Finding the Fourth Proportional to 394.74, 590.96 and 272.77

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Solution

The fourth proportional to 394.74, 590.96 and 272.77 is: 408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.74 : 590.96 = 272.77 : x
  2. Step 2: Convert to fraction form
    394.74/590.96 = 272.77/x
  3. Step 3: Cross multiply
    394.74x = 590.96 × 272.77
  4. Step 4: Simplify right side
    394.74x = 161,195.36
  5. Step 5: Solve for x
    x = 161,195.36/394.74
  6. Step 6: Final answer
    x = 408.36

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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.