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Finding the Fourth Proportional to 227.52, 312.09 and 215.10

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Solution

The fourth proportional to 227.52, 312.09 and 215.10 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.52 : 312.09 = 215.10 : x
  2. Step 2: Convert to fraction form
    227.52/312.09 = 215.10/x
  3. Step 3: Cross multiply
    227.52x = 312.09 × 215.10
  4. Step 4: Simplify right side
    227.52x = 67,130.56
  5. Step 5: Solve for x
    x = 67,130.56/227.52
  6. Step 6: Final answer
    x = 295.05

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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.