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Finding the Fourth Proportional to 297.58, 410.78 and 191.37

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Solution

The fourth proportional to 297.58, 410.78 and 191.37 is: 264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.58 : 410.78 = 191.37 : x
  2. Step 2: Convert to fraction form
    297.58/410.78 = 191.37/x
  3. Step 3: Cross multiply
    297.58x = 410.78 × 191.37
  4. Step 4: Simplify right side
    297.58x = 78,610.97
  5. Step 5: Solve for x
    x = 78,610.97/297.58
  6. Step 6: Final answer
    x = 264.17

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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.