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Finding the Fourth Proportional to 323.38, 486.94 and 237.28

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Solution

The fourth proportional to 323.38, 486.94 and 237.28 is: 357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.38 : 486.94 = 237.28 : x
  2. Step 2: Convert to fraction form
    323.38/486.94 = 237.28/x
  3. Step 3: Cross multiply
    323.38x = 486.94 × 237.28
  4. Step 4: Simplify right side
    323.38x = 115,541.12
  5. Step 5: Solve for x
    x = 115,541.12/323.38
  6. Step 6: Final answer
    x = 357.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.