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Finding the Fourth Proportional to 235.74, 326.07 and 211.17

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Solution

The fourth proportional to 235.74, 326.07 and 211.17 is: 292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.74 : 326.07 = 211.17 : x
  2. Step 2: Convert to fraction form
    235.74/326.07 = 211.17/x
  3. Step 3: Cross multiply
    235.74x = 326.07 × 211.17
  4. Step 4: Simplify right side
    235.74x = 68,856.20
  5. Step 5: Solve for x
    x = 68,856.20/235.74
  6. Step 6: Final answer
    x = 292.09

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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.