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Finding the Fourth Proportional to 378.74, 567.43 and 135.11

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Solution

The fourth proportional to 378.74, 567.43 and 135.11 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 567.43 = 135.11 : x
  2. Step 2: Convert to fraction form
    378.74/567.43 = 135.11/x
  3. Step 3: Cross multiply
    378.74x = 567.43 × 135.11
  4. Step 4: Simplify right side
    378.74x = 76,665.47
  5. Step 5: Solve for x
    x = 76,665.47/378.74
  6. Step 6: Final answer
    x = 202.42

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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.