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Finding the Fourth Proportional to 177.91, 266.36 and 109.22

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Solution

The fourth proportional to 177.91, 266.36 and 109.22 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.91 : 266.36 = 109.22 : x
  2. Step 2: Convert to fraction form
    177.91/266.36 = 109.22/x
  3. Step 3: Cross multiply
    177.91x = 266.36 × 109.22
  4. Step 4: Simplify right side
    177.91x = 29,089.96
  5. Step 5: Solve for x
    x = 29,089.96/177.91
  6. Step 6: Final answer
    x = 163.51

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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.