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Finding the Fourth Proportional to 297.82, 410.91 and 171.78

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Solution

The fourth proportional to 297.82, 410.91 and 171.78 is: 237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 410.91 = 171.78 : x
  2. Step 2: Convert to fraction form
    297.82/410.91 = 171.78/x
  3. Step 3: Cross multiply
    297.82x = 410.91 × 171.78
  4. Step 4: Simplify right side
    297.82x = 70,583.93
  5. Step 5: Solve for x
    x = 70,583.93/297.82
  6. Step 6: Final answer
    x = 237.01

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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.