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Finding the Fourth Proportional to 297.61, 411.42 and 270.61

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Solution

The fourth proportional to 297.61, 411.42 and 270.61 is: 374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.61 : 411.42 = 270.61 : x
  2. Step 2: Convert to fraction form
    297.61/411.42 = 270.61/x
  3. Step 3: Cross multiply
    297.61x = 411.42 × 270.61
  4. Step 4: Simplify right side
    297.61x = 111,334.37
  5. Step 5: Solve for x
    x = 111,334.37/297.61
  6. Step 6: Final answer
    x = 374.09

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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.