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Finding the Fourth Proportional to 239.23, 358.84 and 109.15

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Solution

The fourth proportional to 239.23, 358.84 and 109.15 is: 163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.23 : 358.84 = 109.15 : x
  2. Step 2: Convert to fraction form
    239.23/358.84 = 109.15/x
  3. Step 3: Cross multiply
    239.23x = 358.84 × 109.15
  4. Step 4: Simplify right side
    239.23x = 39,167.39
  5. Step 5: Solve for x
    x = 39,167.39/239.23
  6. Step 6: Final answer
    x = 163.72

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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.