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Finding the Fourth Proportional to 378.09, 569.71 and 311.12

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Solution

The fourth proportional to 378.09, 569.71 and 311.12 is: 468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 569.71 = 311.12 : x
  2. Step 2: Convert to fraction form
    378.09/569.71 = 311.12/x
  3. Step 3: Cross multiply
    378.09x = 569.71 × 311.12
  4. Step 4: Simplify right side
    378.09x = 177,245.37
  5. Step 5: Solve for x
    x = 177,245.37/378.09
  6. Step 6: Final answer
    x = 468.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.