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Finding the Fourth Proportional to 233.44, 350.20 and 137.20

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Solution

The fourth proportional to 233.44, 350.20 and 137.20 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.44 : 350.20 = 137.20 : x
  2. Step 2: Convert to fraction form
    233.44/350.20 = 137.20/x
  3. Step 3: Cross multiply
    233.44x = 350.20 × 137.20
  4. Step 4: Simplify right side
    233.44x = 48,047.44
  5. Step 5: Solve for x
    x = 48,047.44/233.44
  6. Step 6: Final answer
    x = 205.82

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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.