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Finding the Fourth Proportional to 378.71, 567.80 and 214.29

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Solution

The fourth proportional to 378.71, 567.80 and 214.29 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.71 : 567.80 = 214.29 : x
  2. Step 2: Convert to fraction form
    378.71/567.80 = 214.29/x
  3. Step 3: Cross multiply
    378.71x = 567.80 × 214.29
  4. Step 4: Simplify right side
    378.71x = 121,669.95
  5. Step 5: Solve for x
    x = 121,669.95/378.71
  6. Step 6: Final answer
    x = 321.28

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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.