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Finding the Fourth Proportional to 378.96, 568.41 and 118.95

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Solution

The fourth proportional to 378.96, 568.41 and 118.95 is: 178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 568.41 = 118.95 : x
  2. Step 2: Convert to fraction form
    378.96/568.41 = 118.95/x
  3. Step 3: Cross multiply
    378.96x = 568.41 × 118.95
  4. Step 4: Simplify right side
    378.96x = 67,612.37
  5. Step 5: Solve for x
    x = 67,612.37/378.96
  6. Step 6: Final answer
    x = 178.42

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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.