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Finding the Fourth Proportional to 312.73, 431.58 and 181.75

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Solution

The fourth proportional to 312.73, 431.58 and 181.75 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.73 : 431.58 = 181.75 : x
  2. Step 2: Convert to fraction form
    312.73/431.58 = 181.75/x
  3. Step 3: Cross multiply
    312.73x = 431.58 × 181.75
  4. Step 4: Simplify right side
    312.73x = 78,439.67
  5. Step 5: Solve for x
    x = 78,439.67/312.73
  6. Step 6: Final answer
    x = 250.82

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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.