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Finding the Fourth Proportional to 661.09, 991.02 and 227.94

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Solution

The fourth proportional to 661.09, 991.02 and 227.94 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.09 : 991.02 = 227.94 : x
  2. Step 2: Convert to fraction form
    661.09/991.02 = 227.94/x
  3. Step 3: Cross multiply
    661.09x = 991.02 × 227.94
  4. Step 4: Simplify right side
    661.09x = 225,890.62
  5. Step 5: Solve for x
    x = 225,890.62/661.09
  6. Step 6: Final answer
    x = 341.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.