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Finding the Fourth Proportional to 226.55, 314.86 and 224.12

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Solution

The fourth proportional to 226.55, 314.86 and 224.12 is: 311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 314.86 = 224.12 : x
  2. Step 2: Convert to fraction form
    226.55/314.86 = 224.12/x
  3. Step 3: Cross multiply
    226.55x = 314.86 × 224.12
  4. Step 4: Simplify right side
    226.55x = 70,567.07
  5. Step 5: Solve for x
    x = 70,567.07/226.55
  6. Step 6: Final answer
    x = 311.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.