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Finding the Fourth Proportional to 181.86, 251.21 and 145.28

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Solution

The fourth proportional to 181.86, 251.21 and 145.28 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 251.21 = 145.28 : x
  2. Step 2: Convert to fraction form
    181.86/251.21 = 145.28/x
  3. Step 3: Cross multiply
    181.86x = 251.21 × 145.28
  4. Step 4: Simplify right side
    181.86x = 36,494.90
  5. Step 5: Solve for x
    x = 36,494.90/181.86
  6. Step 6: Final answer
    x = 200.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.