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Finding the Fourth Proportional to 312.39, 431.06 and 186.33

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Solution

The fourth proportional to 312.39, 431.06 and 186.33 is: 257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.39 : 431.06 = 186.33 : x
  2. Step 2: Convert to fraction form
    312.39/431.06 = 186.33/x
  3. Step 3: Cross multiply
    312.39x = 431.06 × 186.33
  4. Step 4: Simplify right side
    312.39x = 80,320.09
  5. Step 5: Solve for x
    x = 80,320.09/312.39
  6. Step 6: Final answer
    x = 257.11

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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.