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Finding the Fourth Proportional to 378.67, 568.09 and 118.66

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Solution

The fourth proportional to 378.67, 568.09 and 118.66 is: 178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.67 : 568.09 = 118.66 : x
  2. Step 2: Convert to fraction form
    378.67/568.09 = 118.66/x
  3. Step 3: Cross multiply
    378.67x = 568.09 × 118.66
  4. Step 4: Simplify right side
    378.67x = 67,410.14
  5. Step 5: Solve for x
    x = 67,410.14/378.67
  6. Step 6: Final answer
    x = 178.02

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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.