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Finding the Fourth Proportional to 226.39, 313.85 and 214.07

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Solution

The fourth proportional to 226.39, 313.85 and 214.07 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.39 : 313.85 = 214.07 : x
  2. Step 2: Convert to fraction form
    226.39/313.85 = 214.07/x
  3. Step 3: Cross multiply
    226.39x = 313.85 × 214.07
  4. Step 4: Simplify right side
    226.39x = 67,185.58
  5. Step 5: Solve for x
    x = 67,185.58/226.39
  6. Step 6: Final answer
    x = 296.77

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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.