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Finding the Fourth Proportional to 409.88, 614.26 and 300.18

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Solution

The fourth proportional to 409.88, 614.26 and 300.18 is: 449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 614.26 = 300.18 : x
  2. Step 2: Convert to fraction form
    409.88/614.26 = 300.18/x
  3. Step 3: Cross multiply
    409.88x = 614.26 × 300.18
  4. Step 4: Simplify right side
    409.88x = 184,388.57
  5. Step 5: Solve for x
    x = 184,388.57/409.88
  6. Step 6: Final answer
    x = 449.86

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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.