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Finding the Fourth Proportional to 181.86, 272.01 and 142.89

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Solution

The fourth proportional to 181.86, 272.01 and 142.89 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 272.01 = 142.89 : x
  2. Step 2: Convert to fraction form
    181.86/272.01 = 142.89/x
  3. Step 3: Cross multiply
    181.86x = 272.01 × 142.89
  4. Step 4: Simplify right side
    181.86x = 38,867.51
  5. Step 5: Solve for x
    x = 38,867.51/181.86
  6. Step 6: Final answer
    x = 213.72

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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.