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Finding the Fourth Proportional to 299.75, 414.18 and 240.66

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Solution

The fourth proportional to 299.75, 414.18 and 240.66 is: 332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 414.18 = 240.66 : x
  2. Step 2: Convert to fraction form
    299.75/414.18 = 240.66/x
  3. Step 3: Cross multiply
    299.75x = 414.18 × 240.66
  4. Step 4: Simplify right side
    299.75x = 99,676.56
  5. Step 5: Solve for x
    x = 99,676.56/299.75
  6. Step 6: Final answer
    x = 332.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.