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Finding the Fourth Proportional to 227.58, 312.38 and 215.43

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Solution

The fourth proportional to 227.58, 312.38 and 215.43 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.58 : 312.38 = 215.43 : x
  2. Step 2: Convert to fraction form
    227.58/312.38 = 215.43/x
  3. Step 3: Cross multiply
    227.58x = 312.38 × 215.43
  4. Step 4: Simplify right side
    227.58x = 67,294.95
  5. Step 5: Solve for x
    x = 67,294.95/227.58
  6. Step 6: Final answer
    x = 295.70

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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.