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Finding the Fourth Proportional to 250.86, 344.94 and 218.07

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Solution

The fourth proportional to 250.86, 344.94 and 218.07 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.86 : 344.94 = 218.07 : x
  2. Step 2: Convert to fraction form
    250.86/344.94 = 218.07/x
  3. Step 3: Cross multiply
    250.86x = 344.94 × 218.07
  4. Step 4: Simplify right side
    250.86x = 75,221.07
  5. Step 5: Solve for x
    x = 75,221.07/250.86
  6. Step 6: Final answer
    x = 299.85

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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.