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Finding the Fourth Proportional to 238.14, 357.08 and 109.89

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Solution

The fourth proportional to 238.14, 357.08 and 109.89 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 357.08 = 109.89 : x
  2. Step 2: Convert to fraction form
    238.14/357.08 = 109.89/x
  3. Step 3: Cross multiply
    238.14x = 357.08 × 109.89
  4. Step 4: Simplify right side
    238.14x = 39,238.97
  5. Step 5: Solve for x
    x = 39,238.97/238.14
  6. Step 6: Final answer
    x = 164.77

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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.