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Finding the Fourth Proportional to 181.57, 272.08 and 84.01

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Solution

The fourth proportional to 181.57, 272.08 and 84.01 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.57 : 272.08 = 84.01 : x
  2. Step 2: Convert to fraction form
    181.57/272.08 = 84.01/x
  3. Step 3: Cross multiply
    181.57x = 272.08 × 84.01
  4. Step 4: Simplify right side
    181.57x = 22,857.44
  5. Step 5: Solve for x
    x = 22,857.44/181.57
  6. Step 6: Final answer
    x = 125.89

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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.