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Finding the Fourth Proportional to 226.26, 313.68 and 214.55

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Solution

The fourth proportional to 226.26, 313.68 and 214.55 is: 297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 313.68 = 214.55 : x
  2. Step 2: Convert to fraction form
    226.26/313.68 = 214.55/x
  3. Step 3: Cross multiply
    226.26x = 313.68 × 214.55
  4. Step 4: Simplify right side
    226.26x = 67,300.04
  5. Step 5: Solve for x
    x = 67,300.04/226.26
  6. Step 6: Final answer
    x = 297.45

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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.