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Finding the Fourth Proportional to 409.63, 614.49 and 149.71

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Solution

The fourth proportional to 409.63, 614.49 and 149.71 is: 224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 614.49 = 149.71 : x
  2. Step 2: Convert to fraction form
    409.63/614.49 = 149.71/x
  3. Step 3: Cross multiply
    409.63x = 614.49 × 149.71
  4. Step 4: Simplify right side
    409.63x = 91,995.30
  5. Step 5: Solve for x
    x = 91,995.30/409.63
  6. Step 6: Final answer
    x = 224.58

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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.