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Finding the Fourth Proportional to 176.78, 264.81 and 80.66

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Solution

The fourth proportional to 176.78, 264.81 and 80.66 is: 120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 264.81 = 80.66 : x
  2. Step 2: Convert to fraction form
    176.78/264.81 = 80.66/x
  3. Step 3: Cross multiply
    176.78x = 264.81 × 80.66
  4. Step 4: Simplify right side
    176.78x = 21,360.54
  5. Step 5: Solve for x
    x = 21,360.54/176.78
  6. Step 6: Final answer
    x = 120.83

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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.