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Finding the Fourth Proportional to 176.67, 264.83 and 77.90

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Solution

The fourth proportional to 176.67, 264.83 and 77.90 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.67 : 264.83 = 77.90 : x
  2. Step 2: Convert to fraction form
    176.67/264.83 = 77.90/x
  3. Step 3: Cross multiply
    176.67x = 264.83 × 77.90
  4. Step 4: Simplify right side
    176.67x = 20,628.54
  5. Step 5: Solve for x
    x = 20,628.54/176.67
  6. Step 6: Final answer
    x = 116.76

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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.