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Finding the Fourth Proportional to 286.20, 425.62 and 277.09

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Solution

The fourth proportional to 286.20, 425.62 and 277.09 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.20 : 425.62 = 277.09 : x
  2. Step 2: Convert to fraction form
    286.20/425.62 = 277.09/x
  3. Step 3: Cross multiply
    286.20x = 425.62 × 277.09
  4. Step 4: Simplify right side
    286.20x = 117,935.74
  5. Step 5: Solve for x
    x = 117,935.74/286.20
  6. Step 6: Final answer
    x = 412.07

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