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Finding the Fourth Proportional to 400.04, 599.50 and 278.12

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Solution

The fourth proportional to 400.04, 599.50 and 278.12 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.04 : 599.50 = 278.12 : x
  2. Step 2: Convert to fraction form
    400.04/599.50 = 278.12/x
  3. Step 3: Cross multiply
    400.04x = 599.50 × 278.12
  4. Step 4: Simplify right side
    400.04x = 166,732.94
  5. Step 5: Solve for x
    x = 166,732.94/400.04
  6. Step 6: Final answer
    x = 416.79

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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.