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Finding the Fourth Proportional to 379.27, 564.03 and 367.12

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Solution

The fourth proportional to 379.27, 564.03 and 367.12 is: 545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.27 : 564.03 = 367.12 : x
  2. Step 2: Convert to fraction form
    379.27/564.03 = 367.12/x
  3. Step 3: Cross multiply
    379.27x = 564.03 × 367.12
  4. Step 4: Simplify right side
    379.27x = 207,066.69
  5. Step 5: Solve for x
    x = 207,066.69/379.27
  6. Step 6: Final answer
    x = 545.96

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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.