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Finding the Fourth Proportional to 411.22, 565.39 and 366.54

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Solution

The fourth proportional to 411.22, 565.39 and 366.54 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.22 : 565.39 = 366.54 : x
  2. Step 2: Convert to fraction form
    411.22/565.39 = 366.54/x
  3. Step 3: Cross multiply
    411.22x = 565.39 × 366.54
  4. Step 4: Simplify right side
    411.22x = 207,237.13
  5. Step 5: Solve for x
    x = 207,237.13/411.22
  6. Step 6: Final answer
    x = 503.96

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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.