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Finding the Fourth Proportional to 644.08, 966.28 and 181.86

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Solution

The fourth proportional to 644.08, 966.28 and 181.86 is: 272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.08 : 966.28 = 181.86 : x
  2. Step 2: Convert to fraction form
    644.08/966.28 = 181.86/x
  3. Step 3: Cross multiply
    644.08x = 966.28 × 181.86
  4. Step 4: Simplify right side
    644.08x = 175,727.68
  5. Step 5: Solve for x
    x = 175,727.68/644.08
  6. Step 6: Final answer
    x = 272.84

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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.