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Finding the Fourth Proportional to 176.69, 264.56 and 108.11

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Solution

The fourth proportional to 176.69, 264.56 and 108.11 is: 161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.69 : 264.56 = 108.11 : x
  2. Step 2: Convert to fraction form
    176.69/264.56 = 108.11/x
  3. Step 3: Cross multiply
    176.69x = 264.56 × 108.11
  4. Step 4: Simplify right side
    176.69x = 28,599.72
  5. Step 5: Solve for x
    x = 28,599.72/176.69
  6. Step 6: Final answer
    x = 161.87

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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.