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Finding the Fourth Proportional to 227.18, 313.49 and 153.38

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Solution

The fourth proportional to 227.18, 313.49 and 153.38 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.18 : 313.49 = 153.38 : x
  2. Step 2: Convert to fraction form
    227.18/313.49 = 153.38/x
  3. Step 3: Cross multiply
    227.18x = 313.49 × 153.38
  4. Step 4: Simplify right side
    227.18x = 48,080.76
  5. Step 5: Solve for x
    x = 48,080.76/227.18
  6. Step 6: Final answer
    x = 211.65

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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.