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Finding the Fourth Proportional to 378.57, 567.09 and 193.47

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Solution

The fourth proportional to 378.57, 567.09 and 193.47 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.57 : 567.09 = 193.47 : x
  2. Step 2: Convert to fraction form
    378.57/567.09 = 193.47/x
  3. Step 3: Cross multiply
    378.57x = 567.09 × 193.47
  4. Step 4: Simplify right side
    378.57x = 109,712.55
  5. Step 5: Solve for x
    x = 109,712.55/378.57
  6. Step 6: Final answer
    x = 289.81

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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.