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Finding the Fourth Proportional to 180.17, 269.87 and 154.56

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Solution

The fourth proportional to 180.17, 269.87 and 154.56 is: 231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 269.87 = 154.56 : x
  2. Step 2: Convert to fraction form
    180.17/269.87 = 154.56/x
  3. Step 3: Cross multiply
    180.17x = 269.87 × 154.56
  4. Step 4: Simplify right side
    180.17x = 41,709.83
  5. Step 5: Solve for x
    x = 41,709.83/180.17
  6. Step 6: Final answer
    x = 231.50

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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.