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Finding the Fourth Proportional to 400.05, 599.87 and 180.49

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Solution

The fourth proportional to 400.05, 599.87 and 180.49 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.05 : 599.87 = 180.49 : x
  2. Step 2: Convert to fraction form
    400.05/599.87 = 180.49/x
  3. Step 3: Cross multiply
    400.05x = 599.87 × 180.49
  4. Step 4: Simplify right side
    400.05x = 108,266.63
  5. Step 5: Solve for x
    x = 108,266.63/400.05
  6. Step 6: Final answer
    x = 270.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.