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Finding the Fourth Proportional to 409.79, 614.66 and 149.85

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Solution

The fourth proportional to 409.79, 614.66 and 149.85 is: 224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.79 : 614.66 = 149.85 : x
  2. Step 2: Convert to fraction form
    409.79/614.66 = 149.85/x
  3. Step 3: Cross multiply
    409.79x = 614.66 × 149.85
  4. Step 4: Simplify right side
    409.79x = 92,106.05
  5. Step 5: Solve for x
    x = 92,106.05/409.79
  6. Step 6: Final answer
    x = 224.76

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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.