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Finding the Fourth Proportional to 409.87, 565.77 and 366.13

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Solution

The fourth proportional to 409.87, 565.77 and 366.13 is: 505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.87 : 565.77 = 366.13 : x
  2. Step 2: Convert to fraction form
    409.87/565.77 = 366.13/x
  3. Step 3: Cross multiply
    409.87x = 565.77 × 366.13
  4. Step 4: Simplify right side
    409.87x = 207,145.37
  5. Step 5: Solve for x
    x = 207,145.37/409.87
  6. Step 6: Final answer
    x = 505.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.