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Finding the Fourth Proportional to 661.93, 992.56 and 223.03

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Solution

The fourth proportional to 661.93, 992.56 and 223.03 is: 334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.93 : 992.56 = 223.03 : x
  2. Step 2: Convert to fraction form
    661.93/992.56 = 223.03/x
  3. Step 3: Cross multiply
    661.93x = 992.56 × 223.03
  4. Step 4: Simplify right side
    661.93x = 221,370.66
  5. Step 5: Solve for x
    x = 221,370.66/661.93
  6. Step 6: Final answer
    x = 334.43

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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.