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Finding the Fourth Proportional to 280.82, 423.48 and 279

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Solution

The fourth proportional to 280.82, 423.48 and 279 is: 420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 423.48 = 279 : x
  2. Step 2: Convert to fraction form
    280.82/423.48 = 279/x
  3. Step 3: Cross multiply
    280.82x = 423.48 × 279
  4. Step 4: Simplify right side
    280.82x = 118,150.92
  5. Step 5: Solve for x
    x = 118,150.92/280.82
  6. Step 6: Final answer
    x = 420.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.