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Finding the Fourth Proportional to 661.90, 992.73 and 223.11

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Solution

The fourth proportional to 661.90, 992.73 and 223.11 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.90 : 992.73 = 223.11 : x
  2. Step 2: Convert to fraction form
    661.90/992.73 = 223.11/x
  3. Step 3: Cross multiply
    661.90x = 992.73 × 223.11
  4. Step 4: Simplify right side
    661.90x = 221,487.99
  5. Step 5: Solve for x
    x = 221,487.99/661.90
  6. Step 6: Final answer
    x = 334.62

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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.