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Finding the Fourth Proportional to 177.06, 265.67 and 136.82

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Solution

The fourth proportional to 177.06, 265.67 and 136.82 is: 205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.06 : 265.67 = 136.82 : x
  2. Step 2: Convert to fraction form
    177.06/265.67 = 136.82/x
  3. Step 3: Cross multiply
    177.06x = 265.67 × 136.82
  4. Step 4: Simplify right side
    177.06x = 36,346.96
  5. Step 5: Solve for x
    x = 36,346.96/177.06
  6. Step 6: Final answer
    x = 205.28

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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.