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Finding the Fourth Proportional to 233.75, 348.37 and 231.84

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Solution

The fourth proportional to 233.75, 348.37 and 231.84 is: 345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.75 : 348.37 = 231.84 : x
  2. Step 2: Convert to fraction form
    233.75/348.37 = 231.84/x
  3. Step 3: Cross multiply
    233.75x = 348.37 × 231.84
  4. Step 4: Simplify right side
    233.75x = 80,766.10
  5. Step 5: Solve for x
    x = 80,766.10/233.75
  6. Step 6: Final answer
    x = 345.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.