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Finding the Fourth Proportional to 363.56, 501.36 and 239.16

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Solution

The fourth proportional to 363.56, 501.36 and 239.16 is: 329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.56 : 501.36 = 239.16 : x
  2. Step 2: Convert to fraction form
    363.56/501.36 = 239.16/x
  3. Step 3: Cross multiply
    363.56x = 501.36 × 239.16
  4. Step 4: Simplify right side
    363.56x = 119,905.26
  5. Step 5: Solve for x
    x = 119,905.26/363.56
  6. Step 6: Final answer
    x = 329.81

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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.