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Finding the Fourth Proportional to 286.22, 427.38 and 231.55

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Solution

The fourth proportional to 286.22, 427.38 and 231.55 is: 345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 427.38 = 231.55 : x
  2. Step 2: Convert to fraction form
    286.22/427.38 = 231.55/x
  3. Step 3: Cross multiply
    286.22x = 427.38 × 231.55
  4. Step 4: Simplify right side
    286.22x = 98,959.84
  5. Step 5: Solve for x
    x = 98,959.84/286.22
  6. Step 6: Final answer
    x = 345.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.