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Finding the Fourth Proportional to 323.90, 486.16 and 236.14

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Solution

The fourth proportional to 323.90, 486.16 and 236.14 is: 354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.90 : 486.16 = 236.14 : x
  2. Step 2: Convert to fraction form
    323.90/486.16 = 236.14/x
  3. Step 3: Cross multiply
    323.90x = 486.16 × 236.14
  4. Step 4: Simplify right side
    323.90x = 114,801.82
  5. Step 5: Solve for x
    x = 114,801.82/323.90
  6. Step 6: Final answer
    x = 354.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.