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Finding the Fourth Proportional to 378.77, 564.43 and 366.38

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Solution

The fourth proportional to 378.77, 564.43 and 366.38 is: 545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.77 : 564.43 = 366.38 : x
  2. Step 2: Convert to fraction form
    378.77/564.43 = 366.38/x
  3. Step 3: Cross multiply
    378.77x = 564.43 × 366.38
  4. Step 4: Simplify right side
    378.77x = 206,795.86
  5. Step 5: Solve for x
    x = 206,795.86/378.77
  6. Step 6: Final answer
    x = 545.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.