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Finding the Fourth Proportional to 312.78, 431.67 and 181.77

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Solution

The fourth proportional to 312.78, 431.67 and 181.77 is: 250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.78 : 431.67 = 181.77 : x
  2. Step 2: Convert to fraction form
    312.78/431.67 = 181.77/x
  3. Step 3: Cross multiply
    312.78x = 431.67 × 181.77
  4. Step 4: Simplify right side
    312.78x = 78,464.66
  5. Step 5: Solve for x
    x = 78,464.66/312.78
  6. Step 6: Final answer
    x = 250.86

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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.