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Finding the Fourth Proportional to 644.31, 966.47 and 182.09

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Solution

The fourth proportional to 644.31, 966.47 and 182.09 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.31 : 966.47 = 182.09 : x
  2. Step 2: Convert to fraction form
    644.31/966.47 = 182.09/x
  3. Step 3: Cross multiply
    644.31x = 966.47 × 182.09
  4. Step 4: Simplify right side
    644.31x = 175,987.07
  5. Step 5: Solve for x
    x = 175,987.07/644.31
  6. Step 6: Final answer
    x = 273.14

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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.