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Finding the Fourth Proportional to 400.87, 600.90 and 184.60

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Solution

The fourth proportional to 400.87, 600.90 and 184.60 is: 276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.87 : 600.90 = 184.60 : x
  2. Step 2: Convert to fraction form
    400.87/600.90 = 184.60/x
  3. Step 3: Cross multiply
    400.87x = 600.90 × 184.60
  4. Step 4: Simplify right side
    400.87x = 110,926.14
  5. Step 5: Solve for x
    x = 110,926.14/400.87
  6. Step 6: Final answer
    x = 276.71

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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.