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Finding the Fourth Proportional to 177.72, 266.46 and 109.24

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Solution

The fourth proportional to 177.72, 266.46 and 109.24 is: 163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 266.46 = 109.24 : x
  2. Step 2: Convert to fraction form
    177.72/266.46 = 109.24/x
  3. Step 3: Cross multiply
    177.72x = 266.46 × 109.24
  4. Step 4: Simplify right side
    177.72x = 29,108.09
  5. Step 5: Solve for x
    x = 29,108.09/177.72
  6. Step 6: Final answer
    x = 163.79

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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.