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Finding the Fourth Proportional to 400.43, 599.51 and 270.17

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Solution

The fourth proportional to 400.43, 599.51 and 270.17 is: 404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.43 : 599.51 = 270.17 : x
  2. Step 2: Convert to fraction form
    400.43/599.51 = 270.17/x
  3. Step 3: Cross multiply
    400.43x = 599.51 × 270.17
  4. Step 4: Simplify right side
    400.43x = 161,969.62
  5. Step 5: Solve for x
    x = 161,969.62/400.43
  6. Step 6: Final answer
    x = 404.49

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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.