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Finding the Fourth Proportional to 661.54, 992.11 and 222.74

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Solution

The fourth proportional to 661.54, 992.11 and 222.74 is: 334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.54 : 992.11 = 222.74 : x
  2. Step 2: Convert to fraction form
    661.54/992.11 = 222.74/x
  3. Step 3: Cross multiply
    661.54x = 992.11 × 222.74
  4. Step 4: Simplify right side
    661.54x = 220,977.62
  5. Step 5: Solve for x
    x = 220,977.62/661.54
  6. Step 6: Final answer
    x = 334.04

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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.