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Finding the Fourth Proportional to 312.36, 431 and 181.38

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Solution

The fourth proportional to 312.36, 431 and 181.38 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 431 = 181.38 : x
  2. Step 2: Convert to fraction form
    312.36/431 = 181.38/x
  3. Step 3: Cross multiply
    312.36x = 431 × 181.38
  4. Step 4: Simplify right side
    312.36x = 78,174.78
  5. Step 5: Solve for x
    x = 78,174.78/312.36
  6. Step 6: Final answer
    x = 250.27

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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.