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Finding the Fourth Proportional to 286.60, 395.64 and 203.68

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Solution

The fourth proportional to 286.60, 395.64 and 203.68 is: 281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.60 : 395.64 = 203.68 : x
  2. Step 2: Convert to fraction form
    286.60/395.64 = 203.68/x
  3. Step 3: Cross multiply
    286.60x = 395.64 × 203.68
  4. Step 4: Simplify right side
    286.60x = 80,583.96
  5. Step 5: Solve for x
    x = 80,583.96/286.60
  6. Step 6: Final answer
    x = 281.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.