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Finding the Fourth Proportional to 400.18, 600.66 and 278.94

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Solution

The fourth proportional to 400.18, 600.66 and 278.94 is: 418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.18 : 600.66 = 278.94 : x
  2. Step 2: Convert to fraction form
    400.18/600.66 = 278.94/x
  3. Step 3: Cross multiply
    400.18x = 600.66 × 278.94
  4. Step 4: Simplify right side
    400.18x = 167,548.10
  5. Step 5: Solve for x
    x = 167,548.10/400.18
  6. Step 6: Final answer
    x = 418.68

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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.