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Finding the Fourth Proportional to 312.84, 431.69 and 181.86

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Solution

The fourth proportional to 312.84, 431.69 and 181.86 is: 250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 431.69 = 181.86 : x
  2. Step 2: Convert to fraction form
    312.84/431.69 = 181.86/x
  3. Step 3: Cross multiply
    312.84x = 431.69 × 181.86
  4. Step 4: Simplify right side
    312.84x = 78,507.14
  5. Step 5: Solve for x
    x = 78,507.14/312.84
  6. Step 6: Final answer
    x = 250.95

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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.