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Finding the Fourth Proportional to 227.89, 312.06 and 215.40

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Solution

The fourth proportional to 227.89, 312.06 and 215.40 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.89 : 312.06 = 215.40 : x
  2. Step 2: Convert to fraction form
    227.89/312.06 = 215.40/x
  3. Step 3: Cross multiply
    227.89x = 312.06 × 215.40
  4. Step 4: Simplify right side
    227.89x = 67,217.72
  5. Step 5: Solve for x
    x = 67,217.72/227.89
  6. Step 6: Final answer
    x = 294.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.