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Finding the Fourth Proportional to 268.20, 400.65 and 214.14

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Solution

The fourth proportional to 268.20, 400.65 and 214.14 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.20 : 400.65 = 214.14 : x
  2. Step 2: Convert to fraction form
    268.20/400.65 = 214.14/x
  3. Step 3: Cross multiply
    268.20x = 400.65 × 214.14
  4. Step 4: Simplify right side
    268.20x = 85,795.19
  5. Step 5: Solve for x
    x = 85,795.19/268.20
  6. Step 6: Final answer
    x = 319.89

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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.