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Finding the Fourth Proportional to 286.62, 427.89 and 276.50

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Solution

The fourth proportional to 286.62, 427.89 and 276.50 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.62 : 427.89 = 276.50 : x
  2. Step 2: Convert to fraction form
    286.62/427.89 = 276.50/x
  3. Step 3: Cross multiply
    286.62x = 427.89 × 276.50
  4. Step 4: Simplify right side
    286.62x = 118,309.45
  5. Step 5: Solve for x
    x = 118,309.45/286.62
  6. Step 6: Final answer
    x = 412.77

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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.