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Finding the Fourth Proportional to 227.47, 339.81 and 181.91

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Solution

The fourth proportional to 227.47, 339.81 and 181.91 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.47 : 339.81 = 181.91 : x
  2. Step 2: Convert to fraction form
    227.47/339.81 = 181.91/x
  3. Step 3: Cross multiply
    227.47x = 339.81 × 181.91
  4. Step 4: Simplify right side
    227.47x = 61,814.84
  5. Step 5: Solve for x
    x = 61,814.84/227.47
  6. Step 6: Final answer
    x = 271.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.