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Finding the Fourth Proportional to 297.95, 410.75 and 245.41

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Solution

The fourth proportional to 297.95, 410.75 and 245.41 is: 338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.95 : 410.75 = 245.41 : x
  2. Step 2: Convert to fraction form
    297.95/410.75 = 245.41/x
  3. Step 3: Cross multiply
    297.95x = 410.75 × 245.41
  4. Step 4: Simplify right side
    297.95x = 100,801.58
  5. Step 5: Solve for x
    x = 100,801.58/297.95
  6. Step 6: Final answer
    x = 338.32

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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.