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Finding the Fourth Proportional to 409.01, 614.39 and 246.78

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Solution

The fourth proportional to 409.01, 614.39 and 246.78 is: 370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 614.39 = 246.78 : x
  2. Step 2: Convert to fraction form
    409.01/614.39 = 246.78/x
  3. Step 3: Cross multiply
    409.01x = 614.39 × 246.78
  4. Step 4: Simplify right side
    409.01x = 151,617.93
  5. Step 5: Solve for x
    x = 151,617.93/409.01
  6. Step 6: Final answer
    x = 370.70

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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.