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Finding the Fourth Proportional to 177.73, 268.10 and 164.77

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Solution

The fourth proportional to 177.73, 268.10 and 164.77 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 268.10 = 164.77 : x
  2. Step 2: Convert to fraction form
    177.73/268.10 = 164.77/x
  3. Step 3: Cross multiply
    177.73x = 268.10 × 164.77
  4. Step 4: Simplify right side
    177.73x = 44,174.84
  5. Step 5: Solve for x
    x = 44,174.84/177.73
  6. Step 6: Final answer
    x = 248.55

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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.