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Finding the Fourth Proportional to 286.77, 428.04 and 276.24

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Solution

The fourth proportional to 286.77, 428.04 and 276.24 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.77 : 428.04 = 276.24 : x
  2. Step 2: Convert to fraction form
    286.77/428.04 = 276.24/x
  3. Step 3: Cross multiply
    286.77x = 428.04 × 276.24
  4. Step 4: Simplify right side
    286.77x = 118,241.77
  5. Step 5: Solve for x
    x = 118,241.77/286.77
  6. Step 6: Final answer
    x = 412.32

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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.