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Finding the Fourth Proportional to 661.48, 992.20 and 199.26

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Solution

The fourth proportional to 661.48, 992.20 and 199.26 is: 298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.48 : 992.20 = 199.26 : x
  2. Step 2: Convert to fraction form
    661.48/992.20 = 199.26/x
  3. Step 3: Cross multiply
    661.48x = 992.20 × 199.26
  4. Step 4: Simplify right side
    661.48x = 197,707.75
  5. Step 5: Solve for x
    x = 197,707.75/661.48
  6. Step 6: Final answer
    x = 298.89

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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.