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Finding the Fourth Proportional to 298.67, 412.13 and 174.33

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Solution

The fourth proportional to 298.67, 412.13 and 174.33 is: 240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.67 : 412.13 = 174.33 : x
  2. Step 2: Convert to fraction form
    298.67/412.13 = 174.33/x
  3. Step 3: Cross multiply
    298.67x = 412.13 × 174.33
  4. Step 4: Simplify right side
    298.67x = 71,845.75
  5. Step 5: Solve for x
    x = 71,845.75/298.67
  6. Step 6: Final answer
    x = 240.56

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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.