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Finding the Fourth Proportional to 228.24, 312.45 and 227.48

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Solution

The fourth proportional to 228.24, 312.45 and 227.48 is: 311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.24 : 312.45 = 227.48 : x
  2. Step 2: Convert to fraction form
    228.24/312.45 = 227.48/x
  3. Step 3: Cross multiply
    228.24x = 312.45 × 227.48
  4. Step 4: Simplify right side
    228.24x = 71,076.13
  5. Step 5: Solve for x
    x = 71,076.13/228.24
  6. Step 6: Final answer
    x = 311.41

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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.