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Finding the Fourth Proportional to 298.09, 446.93 and 240.65

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Solution

The fourth proportional to 298.09, 446.93 and 240.65 is: 360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 446.93 = 240.65 : x
  2. Step 2: Convert to fraction form
    298.09/446.93 = 240.65/x
  3. Step 3: Cross multiply
    298.09x = 446.93 × 240.65
  4. Step 4: Simplify right side
    298.09x = 107,553.70
  5. Step 5: Solve for x
    x = 107,553.70/298.09
  6. Step 6: Final answer
    x = 360.81

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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.