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Finding the Fourth Proportional to 286.80, 426.36 and 286.02

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Solution

The fourth proportional to 286.80, 426.36 and 286.02 is: 425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.80 : 426.36 = 286.02 : x
  2. Step 2: Convert to fraction form
    286.80/426.36 = 286.02/x
  3. Step 3: Cross multiply
    286.80x = 426.36 × 286.02
  4. Step 4: Simplify right side
    286.80x = 121,947.49
  5. Step 5: Solve for x
    x = 121,947.49/286.80
  6. Step 6: Final answer
    x = 425.20

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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.