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Finding the Fourth Proportional to 400.33, 600.99 and 314.21

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Solution

The fourth proportional to 400.33, 600.99 and 314.21 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.33 : 600.99 = 314.21 : x
  2. Step 2: Convert to fraction form
    400.33/600.99 = 314.21/x
  3. Step 3: Cross multiply
    400.33x = 600.99 × 314.21
  4. Step 4: Simplify right side
    400.33x = 188,837.39
  5. Step 5: Solve for x
    x = 188,837.39/400.33
  6. Step 6: Final answer
    x = 471.70

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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.