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Finding the Fourth Proportional to 378.39, 567.55 and 131.55

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Solution

The fourth proportional to 378.39, 567.55 and 131.55 is: 197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.39 : 567.55 = 131.55 : x
  2. Step 2: Convert to fraction form
    378.39/567.55 = 131.55/x
  3. Step 3: Cross multiply
    378.39x = 567.55 × 131.55
  4. Step 4: Simplify right side
    378.39x = 74,660.54
  5. Step 5: Solve for x
    x = 74,660.54/378.39
  6. Step 6: Final answer
    x = 197.31

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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.