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Finding the Fourth Proportional to 262.17, 391.14 and 234.81

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Solution

The fourth proportional to 262.17, 391.14 and 234.81 is: 350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.17 : 391.14 = 234.81 : x
  2. Step 2: Convert to fraction form
    262.17/391.14 = 234.81/x
  3. Step 3: Cross multiply
    262.17x = 391.14 × 234.81
  4. Step 4: Simplify right side
    262.17x = 91,843.58
  5. Step 5: Solve for x
    x = 91,843.58/262.17
  6. Step 6: Final answer
    x = 350.32

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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.