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Finding the Fourth Proportional to 268.45, 400.97 and 214.18

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Solution

The fourth proportional to 268.45, 400.97 and 214.18 is: 319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.45 : 400.97 = 214.18 : x
  2. Step 2: Convert to fraction form
    268.45/400.97 = 214.18/x
  3. Step 3: Cross multiply
    268.45x = 400.97 × 214.18
  4. Step 4: Simplify right side
    268.45x = 85,879.75
  5. Step 5: Solve for x
    x = 85,879.75/268.45
  6. Step 6: Final answer
    x = 319.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.