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Finding the Fourth Proportional to 402.20, 600.18 and 356.07

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Solution

The fourth proportional to 402.20, 600.18 and 356.07 is: 531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.20 : 600.18 = 356.07 : x
  2. Step 2: Convert to fraction form
    402.20/600.18 = 356.07/x
  3. Step 3: Cross multiply
    402.20x = 600.18 × 356.07
  4. Step 4: Simplify right side
    402.20x = 213,706.09
  5. Step 5: Solve for x
    x = 213,706.09/402.20
  6. Step 6: Final answer
    x = 531.34

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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.