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Finding the Fourth Proportional to 310.25, 427.69 and 236.44

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Solution

The fourth proportional to 310.25, 427.69 and 236.44 is: 325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.25 : 427.69 = 236.44 : x
  2. Step 2: Convert to fraction form
    310.25/427.69 = 236.44/x
  3. Step 3: Cross multiply
    310.25x = 427.69 × 236.44
  4. Step 4: Simplify right side
    310.25x = 101,123.02
  5. Step 5: Solve for x
    x = 101,123.02/310.25
  6. Step 6: Final answer
    x = 325.94

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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.