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Finding the Fourth Proportional to 394.50, 590.97 and 240.33

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Solution

The fourth proportional to 394.50, 590.97 and 240.33 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 590.97 = 240.33 : x
  2. Step 2: Convert to fraction form
    394.50/590.97 = 240.33/x
  3. Step 3: Cross multiply
    394.50x = 590.97 × 240.33
  4. Step 4: Simplify right side
    394.50x = 142,027.82
  5. Step 5: Solve for x
    x = 142,027.82/394.50
  6. Step 6: Final answer
    x = 360.02

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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.