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Finding the Fourth Proportional to 310.24, 428.18 and 236.42

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Solution

The fourth proportional to 310.24, 428.18 and 236.42 is: 326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 428.18 = 236.42 : x
  2. Step 2: Convert to fraction form
    310.24/428.18 = 236.42/x
  3. Step 3: Cross multiply
    310.24x = 428.18 × 236.42
  4. Step 4: Simplify right side
    310.24x = 101,230.32
  5. Step 5: Solve for x
    x = 101,230.32/310.24
  6. Step 6: Final answer
    x = 326.30

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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.