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Finding the Fourth Proportional to 297.97, 410.82 and 245.32

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Solution

The fourth proportional to 297.97, 410.82 and 245.32 is: 338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.97 : 410.82 = 245.32 : x
  2. Step 2: Convert to fraction form
    297.97/410.82 = 245.32/x
  3. Step 3: Cross multiply
    297.97x = 410.82 × 245.32
  4. Step 4: Simplify right side
    297.97x = 100,782.36
  5. Step 5: Solve for x
    x = 100,782.36/297.97
  6. Step 6: Final answer
    x = 338.23

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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.