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Finding the Fourth Proportional to 378.21, 567.61 and 195.65

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Solution

The fourth proportional to 378.21, 567.61 and 195.65 is: 293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.21 : 567.61 = 195.65 : x
  2. Step 2: Convert to fraction form
    378.21/567.61 = 195.65/x
  3. Step 3: Cross multiply
    378.21x = 567.61 × 195.65
  4. Step 4: Simplify right side
    378.21x = 111,052.90
  5. Step 5: Solve for x
    x = 111,052.90/378.21
  6. Step 6: Final answer
    x = 293.63

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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.