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Finding the Fourth Proportional to 238.73, 357.64 and 200.45

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Solution

The fourth proportional to 238.73, 357.64 and 200.45 is: 300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.73 : 357.64 = 200.45 : x
  2. Step 2: Convert to fraction form
    238.73/357.64 = 200.45/x
  3. Step 3: Cross multiply
    238.73x = 357.64 × 200.45
  4. Step 4: Simplify right side
    238.73x = 71,689.33
  5. Step 5: Solve for x
    x = 71,689.33/238.73
  6. Step 6: Final answer
    x = 300.30

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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.