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Finding the Fourth Proportional to 227.17, 313.26 and 153.46

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Solution

The fourth proportional to 227.17, 313.26 and 153.46 is: 211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.17 : 313.26 = 153.46 : x
  2. Step 2: Convert to fraction form
    227.17/313.26 = 153.46/x
  3. Step 3: Cross multiply
    227.17x = 313.26 × 153.46
  4. Step 4: Simplify right side
    227.17x = 48,072.88
  5. Step 5: Solve for x
    x = 48,072.88/227.17
  6. Step 6: Final answer
    x = 211.62

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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.