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Finding the Fourth Proportional to 239.82, 359.68 and 109.78

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Solution

The fourth proportional to 239.82, 359.68 and 109.78 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.82 : 359.68 = 109.78 : x
  2. Step 2: Convert to fraction form
    239.82/359.68 = 109.78/x
  3. Step 3: Cross multiply
    239.82x = 359.68 × 109.78
  4. Step 4: Simplify right side
    239.82x = 39,485.12
  5. Step 5: Solve for x
    x = 39,485.12/239.82
  6. Step 6: Final answer
    x = 164.65

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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.