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Finding the Fourth Proportional to 402.15, 599.76 and 363.27

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Solution

The fourth proportional to 402.15, 599.76 and 363.27 is: 541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.15 : 599.76 = 363.27 : x
  2. Step 2: Convert to fraction form
    402.15/599.76 = 363.27/x
  3. Step 3: Cross multiply
    402.15x = 599.76 × 363.27
  4. Step 4: Simplify right side
    402.15x = 217,874.82
  5. Step 5: Solve for x
    x = 217,874.82/402.15
  6. Step 6: Final answer
    x = 541.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.