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Finding the Fourth Proportional to 176.73, 266.60 and 163.77

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Solution

The fourth proportional to 176.73, 266.60 and 163.77 is: 247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.73 : 266.60 = 163.77 : x
  2. Step 2: Convert to fraction form
    176.73/266.60 = 163.77/x
  3. Step 3: Cross multiply
    176.73x = 266.60 × 163.77
  4. Step 4: Simplify right side
    176.73x = 43,660.26
  5. Step 5: Solve for x
    x = 43,660.26/176.73
  6. Step 6: Final answer
    x = 247.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.