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Finding the Fourth Proportional to 409.77, 614.66 and 214.61

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Solution

The fourth proportional to 409.77, 614.66 and 214.61 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.77 : 614.66 = 214.61 : x
  2. Step 2: Convert to fraction form
    409.77/614.66 = 214.61/x
  3. Step 3: Cross multiply
    409.77x = 614.66 × 214.61
  4. Step 4: Simplify right side
    409.77x = 131,908.04
  5. Step 5: Solve for x
    x = 131,908.04/409.77
  6. Step 6: Final answer
    x = 321.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.