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Finding the Fourth Proportional to 402.34, 606.34 and 363.87

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Solution

The fourth proportional to 402.34, 606.34 and 363.87 is: 548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.34 : 606.34 = 363.87 : x
  2. Step 2: Convert to fraction form
    402.34/606.34 = 363.87/x
  3. Step 3: Cross multiply
    402.34x = 606.34 × 363.87
  4. Step 4: Simplify right side
    402.34x = 220,628.94
  5. Step 5: Solve for x
    x = 220,628.94/402.34
  6. Step 6: Final answer
    x = 548.36

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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.