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Finding the Fourth Proportional to 238.75, 358.45 and 123.28

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Solution

The fourth proportional to 238.75, 358.45 and 123.28 is: 185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.75 : 358.45 = 123.28 : x
  2. Step 2: Convert to fraction form
    238.75/358.45 = 123.28/x
  3. Step 3: Cross multiply
    238.75x = 358.45 × 123.28
  4. Step 4: Simplify right side
    238.75x = 44,189.21
  5. Step 5: Solve for x
    x = 44,189.21/238.75
  6. Step 6: Final answer
    x = 185.09

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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.