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Finding the Fourth Proportional to 409.86, 563.22 and 366.12

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Solution

The fourth proportional to 409.86, 563.22 and 366.12 is: 503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 563.22 = 366.12 : x
  2. Step 2: Convert to fraction form
    409.86/563.22 = 366.12/x
  3. Step 3: Cross multiply
    409.86x = 563.22 × 366.12
  4. Step 4: Simplify right side
    409.86x = 206,206.11
  5. Step 5: Solve for x
    x = 206,206.11/409.86
  6. Step 6: Final answer
    x = 503.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.