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Finding the Fourth Proportional to 409.62, 614.54 and 226.91

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Solution

The fourth proportional to 409.62, 614.54 and 226.91 is: 340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.62 : 614.54 = 226.91 : x
  2. Step 2: Convert to fraction form
    409.62/614.54 = 226.91/x
  3. Step 3: Cross multiply
    409.62x = 614.54 × 226.91
  4. Step 4: Simplify right side
    409.62x = 139,445.27
  5. Step 5: Solve for x
    x = 139,445.27/409.62
  6. Step 6: Final answer
    x = 340.43

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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.