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Finding the Fourth Proportional to 378.86, 568.52 and 241.95

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Solution

The fourth proportional to 378.86, 568.52 and 241.95 is: 363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 568.52 = 241.95 : x
  2. Step 2: Convert to fraction form
    378.86/568.52 = 241.95/x
  3. Step 3: Cross multiply
    378.86x = 568.52 × 241.95
  4. Step 4: Simplify right side
    378.86x = 137,553.41
  5. Step 5: Solve for x
    x = 137,553.41/378.86
  6. Step 6: Final answer
    x = 363.07

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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.