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Finding the Fourth Proportional to 353.05, 531.42 and 300.20

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Solution

The fourth proportional to 353.05, 531.42 and 300.20 is: 451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.05 : 531.42 = 300.20 : x
  2. Step 2: Convert to fraction form
    353.05/531.42 = 300.20/x
  3. Step 3: Cross multiply
    353.05x = 531.42 × 300.20
  4. Step 4: Simplify right side
    353.05x = 159,532.28
  5. Step 5: Solve for x
    x = 159,532.28/353.05
  6. Step 6: Final answer
    x = 451.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.