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Finding the Fourth Proportional to 286.56, 426.72 and 279.68

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Solution

The fourth proportional to 286.56, 426.72 and 279.68 is: 416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.56 : 426.72 = 279.68 : x
  2. Step 2: Convert to fraction form
    286.56/426.72 = 279.68/x
  3. Step 3: Cross multiply
    286.56x = 426.72 × 279.68
  4. Step 4: Simplify right side
    286.56x = 119,345.05
  5. Step 5: Solve for x
    x = 119,345.05/286.56
  6. Step 6: Final answer
    x = 416.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.