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Finding the Fourth Proportional to 379.82, 566.41 and 366.15

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Solution

The fourth proportional to 379.82, 566.41 and 366.15 is: 546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.82 : 566.41 = 366.15 : x
  2. Step 2: Convert to fraction form
    379.82/566.41 = 366.15/x
  3. Step 3: Cross multiply
    379.82x = 566.41 × 366.15
  4. Step 4: Simplify right side
    379.82x = 207,392.92
  5. Step 5: Solve for x
    x = 207,392.92/379.82
  6. Step 6: Final answer
    x = 546.03

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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.