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Finding the Fourth Proportional to 227.01, 312.97 and 180.54

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Solution

The fourth proportional to 227.01, 312.97 and 180.54 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.01 : 312.97 = 180.54 : x
  2. Step 2: Convert to fraction form
    227.01/312.97 = 180.54/x
  3. Step 3: Cross multiply
    227.01x = 312.97 × 180.54
  4. Step 4: Simplify right side
    227.01x = 56,503.60
  5. Step 5: Solve for x
    x = 56,503.60/227.01
  6. Step 6: Final answer
    x = 248.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.