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Finding the Fourth Proportional to 378.64, 568.04 and 118.63

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Solution

The fourth proportional to 378.64, 568.04 and 118.63 is: 177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 568.04 = 118.63 : x
  2. Step 2: Convert to fraction form
    378.64/568.04 = 118.63/x
  3. Step 3: Cross multiply
    378.64x = 568.04 × 118.63
  4. Step 4: Simplify right side
    378.64x = 67,385.99
  5. Step 5: Solve for x
    x = 67,385.99/378.64
  6. Step 6: Final answer
    x = 177.97

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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.