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Finding the Fourth Proportional to 665.50, 998.43 and 300.20

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Solution

The fourth proportional to 665.50, 998.43 and 300.20 is: 450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.50 : 998.43 = 300.20 : x
  2. Step 2: Convert to fraction form
    665.50/998.43 = 300.20/x
  3. Step 3: Cross multiply
    665.50x = 998.43 × 300.20
  4. Step 4: Simplify right side
    665.50x = 299,728.69
  5. Step 5: Solve for x
    x = 299,728.69/665.50
  6. Step 6: Final answer
    x = 450.38

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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.