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Finding the Fourth Proportional to 402.89, 599.72 and 356.75

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Solution

The fourth proportional to 402.89, 599.72 and 356.75 is: 531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.89 : 599.72 = 356.75 : x
  2. Step 2: Convert to fraction form
    402.89/599.72 = 356.75/x
  3. Step 3: Cross multiply
    402.89x = 599.72 × 356.75
  4. Step 4: Simplify right side
    402.89x = 213,951.45
  5. Step 5: Solve for x
    x = 213,951.45/402.89
  6. Step 6: Final answer
    x = 531.05

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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.