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Finding the Fourth Proportional to 378.81, 568.18 and 214.25

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Solution

The fourth proportional to 378.81, 568.18 and 214.25 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.81 : 568.18 = 214.25 : x
  2. Step 2: Convert to fraction form
    378.81/568.18 = 214.25/x
  3. Step 3: Cross multiply
    378.81x = 568.18 × 214.25
  4. Step 4: Simplify right side
    378.81x = 121,732.57
  5. Step 5: Solve for x
    x = 121,732.57/378.81
  6. Step 6: Final answer
    x = 321.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.