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Finding the Fourth Proportional to 409.98, 614.44 and 300.29

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Solution

The fourth proportional to 409.98, 614.44 and 300.29 is: 450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 614.44 = 300.29 : x
  2. Step 2: Convert to fraction form
    409.98/614.44 = 300.29/x
  3. Step 3: Cross multiply
    409.98x = 614.44 × 300.29
  4. Step 4: Simplify right side
    409.98x = 184,510.19
  5. Step 5: Solve for x
    x = 184,510.19/409.98
  6. Step 6: Final answer
    x = 450.05

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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.