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Finding the Fourth Proportional to 409.86, 566.19 and 326.84

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Solution

The fourth proportional to 409.86, 566.19 and 326.84 is: 451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 566.19 = 326.84 : x
  2. Step 2: Convert to fraction form
    409.86/566.19 = 326.84/x
  3. Step 3: Cross multiply
    409.86x = 566.19 × 326.84
  4. Step 4: Simplify right side
    409.86x = 185,050.71
  5. Step 5: Solve for x
    x = 185,050.71/409.86
  6. Step 6: Final answer
    x = 451.50

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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.