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Finding the Fourth Proportional to 227.06, 341.83 and 155.38

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Solution

The fourth proportional to 227.06, 341.83 and 155.38 is: 233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.06 : 341.83 = 155.38 : x
  2. Step 2: Convert to fraction form
    227.06/341.83 = 155.38/x
  3. Step 3: Cross multiply
    227.06x = 341.83 × 155.38
  4. Step 4: Simplify right side
    227.06x = 53,113.55
  5. Step 5: Solve for x
    x = 53,113.55/227.06
  6. Step 6: Final answer
    x = 233.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.