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Finding the Fourth Proportional to 232.37, 348.26 and 159.65

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Solution

The fourth proportional to 232.37, 348.26 and 159.65 is: 239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.37 : 348.26 = 159.65 : x
  2. Step 2: Convert to fraction form
    232.37/348.26 = 159.65/x
  3. Step 3: Cross multiply
    232.37x = 348.26 × 159.65
  4. Step 4: Simplify right side
    232.37x = 55,597.17
  5. Step 5: Solve for x
    x = 55,597.17/232.37
  6. Step 6: Final answer
    x = 239.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.