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Finding the Fourth Proportional to 229.57, 344.43 and 212.71

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Solution

The fourth proportional to 229.57, 344.43 and 212.71 is: 319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.57 : 344.43 = 212.71 : x
  2. Step 2: Convert to fraction form
    229.57/344.43 = 212.71/x
  3. Step 3: Cross multiply
    229.57x = 344.43 × 212.71
  4. Step 4: Simplify right side
    229.57x = 73,263.71
  5. Step 5: Solve for x
    x = 73,263.71/229.57
  6. Step 6: Final answer
    x = 319.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.