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Finding the Fourth Proportional to 312.73, 431.42 and 188.31

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Solution

The fourth proportional to 312.73, 431.42 and 188.31 is: 259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.73 : 431.42 = 188.31 : x
  2. Step 2: Convert to fraction form
    312.73/431.42 = 188.31/x
  3. Step 3: Cross multiply
    312.73x = 431.42 × 188.31
  4. Step 4: Simplify right side
    312.73x = 81,240.70
  5. Step 5: Solve for x
    x = 81,240.70/312.73
  6. Step 6: Final answer
    x = 259.78

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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.