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Finding the Fourth Proportional to 406.92, 609.82 and 278.76

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Solution

The fourth proportional to 406.92, 609.82 and 278.76 is: 417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 609.82 = 278.76 : x
  2. Step 2: Convert to fraction form
    406.92/609.82 = 278.76/x
  3. Step 3: Cross multiply
    406.92x = 609.82 × 278.76
  4. Step 4: Simplify right side
    406.92x = 169,993.42
  5. Step 5: Solve for x
    x = 169,993.42/406.92
  6. Step 6: Final answer
    x = 417.76

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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.