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Finding the Fourth Proportional to 283.68, 426.44 and 279.42

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Solution

The fourth proportional to 283.68, 426.44 and 279.42 is: 420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 426.44 = 279.42 : x
  2. Step 2: Convert to fraction form
    283.68/426.44 = 279.42/x
  3. Step 3: Cross multiply
    283.68x = 426.44 × 279.42
  4. Step 4: Simplify right side
    283.68x = 119,155.86
  5. Step 5: Solve for x
    x = 119,155.86/283.68
  6. Step 6: Final answer
    x = 420.04

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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.