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Finding the Fourth Proportional to 226.86, 312.75 and 208.14

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Solution

The fourth proportional to 226.86, 312.75 and 208.14 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 312.75 = 208.14 : x
  2. Step 2: Convert to fraction form
    226.86/312.75 = 208.14/x
  3. Step 3: Cross multiply
    226.86x = 312.75 × 208.14
  4. Step 4: Simplify right side
    226.86x = 65,095.79
  5. Step 5: Solve for x
    x = 65,095.79/226.86
  6. Step 6: Final answer
    x = 286.94

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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.