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Finding the Fourth Proportional to 239.67, 330.79 and 165.08

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Solution

The fourth proportional to 239.67, 330.79 and 165.08 is: 227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.67 : 330.79 = 165.08 : x
  2. Step 2: Convert to fraction form
    239.67/330.79 = 165.08/x
  3. Step 3: Cross multiply
    239.67x = 330.79 × 165.08
  4. Step 4: Simplify right side
    239.67x = 54,606.81
  5. Step 5: Solve for x
    x = 54,606.81/239.67
  6. Step 6: Final answer
    x = 227.84

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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.