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Finding the Fourth Proportional to 409.43, 614.13 and 294.83

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Solution

The fourth proportional to 409.43, 614.13 and 294.83 is: 442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 614.13 = 294.83 : x
  2. Step 2: Convert to fraction form
    409.43/614.13 = 294.83/x
  3. Step 3: Cross multiply
    409.43x = 614.13 × 294.83
  4. Step 4: Simplify right side
    409.43x = 181,063.95
  5. Step 5: Solve for x
    x = 181,063.95/409.43
  6. Step 6: Final answer
    x = 442.23

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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.