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Finding the Fourth Proportional to 233.82, 350.72 and 71.62

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Solution

The fourth proportional to 233.82, 350.72 and 71.62 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 350.72 = 71.62 : x
  2. Step 2: Convert to fraction form
    233.82/350.72 = 71.62/x
  3. Step 3: Cross multiply
    233.82x = 350.72 × 71.62
  4. Step 4: Simplify right side
    233.82x = 25,118.57
  5. Step 5: Solve for x
    x = 25,118.57/233.82
  6. Step 6: Final answer
    x = 107.43

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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.