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Finding the Fourth Proportional to 239.15, 358.41 and 109.10

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Solution

The fourth proportional to 239.15, 358.41 and 109.10 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.15 : 358.41 = 109.10 : x
  2. Step 2: Convert to fraction form
    239.15/358.41 = 109.10/x
  3. Step 3: Cross multiply
    239.15x = 358.41 × 109.10
  4. Step 4: Simplify right side
    239.15x = 39,102.53
  5. Step 5: Solve for x
    x = 39,102.53/239.15
  6. Step 6: Final answer
    x = 163.51

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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.