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Finding the Fourth Proportional to 226.86, 313.78 and 201

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Solution

The fourth proportional to 226.86, 313.78 and 201 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 313.78 = 201 : x
  2. Step 2: Convert to fraction form
    226.86/313.78 = 201/x
  3. Step 3: Cross multiply
    226.86x = 313.78 × 201
  4. Step 4: Simplify right side
    226.86x = 63,069.78
  5. Step 5: Solve for x
    x = 63,069.78/226.86
  6. Step 6: Final answer
    x = 278.01

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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.