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Finding the Fourth Proportional to 378.73, 568.17 and 135.25

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Solution

The fourth proportional to 378.73, 568.17 and 135.25 is: 202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.73 : 568.17 = 135.25 : x
  2. Step 2: Convert to fraction form
    378.73/568.17 = 135.25/x
  3. Step 3: Cross multiply
    378.73x = 568.17 × 135.25
  4. Step 4: Simplify right side
    378.73x = 76,844.99
  5. Step 5: Solve for x
    x = 76,844.99/378.73
  6. Step 6: Final answer
    x = 202.90

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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.