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Finding the Fourth Proportional to 660.55, 990.98 and 227.71

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Solution

The fourth proportional to 660.55, 990.98 and 227.71 is: 341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.55 : 990.98 = 227.71 : x
  2. Step 2: Convert to fraction form
    660.55/990.98 = 227.71/x
  3. Step 3: Cross multiply
    660.55x = 990.98 × 227.71
  4. Step 4: Simplify right side
    660.55x = 225,649.96
  5. Step 5: Solve for x
    x = 225,649.96/660.55
  6. Step 6: Final answer
    x = 341.61

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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.