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Finding the Fourth Proportional to 176.33, 266.03 and 165.39

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Solution

The fourth proportional to 176.33, 266.03 and 165.39 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.33 : 266.03 = 165.39 : x
  2. Step 2: Convert to fraction form
    176.33/266.03 = 165.39/x
  3. Step 3: Cross multiply
    176.33x = 266.03 × 165.39
  4. Step 4: Simplify right side
    176.33x = 43,998.88
  5. Step 5: Solve for x
    x = 43,998.88/176.33
  6. Step 6: Final answer
    x = 249.53

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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.