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Finding the Fourth Proportional to 661.43, 991.81 and 222.53

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Solution

The fourth proportional to 661.43, 991.81 and 222.53 is: 333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.43 : 991.81 = 222.53 : x
  2. Step 2: Convert to fraction form
    661.43/991.81 = 222.53/x
  3. Step 3: Cross multiply
    661.43x = 991.81 × 222.53
  4. Step 4: Simplify right side
    661.43x = 220,707.48
  5. Step 5: Solve for x
    x = 220,707.48/661.43
  6. Step 6: Final answer
    x = 333.68

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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.