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Finding the Fourth Proportional to 177.73, 265.30 and 164.71

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Solution

The fourth proportional to 177.73, 265.30 and 164.71 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 265.30 = 164.71 : x
  2. Step 2: Convert to fraction form
    177.73/265.30 = 164.71/x
  3. Step 3: Cross multiply
    177.73x = 265.30 × 164.71
  4. Step 4: Simplify right side
    177.73x = 43,697.56
  5. Step 5: Solve for x
    x = 43,697.56/177.73
  6. Step 6: Final answer
    x = 245.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.