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Finding the Fourth Proportional to 234.59, 351.92 and 90.41

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Solution

The fourth proportional to 234.59, 351.92 and 90.41 is: 135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.59 : 351.92 = 90.41 : x
  2. Step 2: Convert to fraction form
    234.59/351.92 = 90.41/x
  3. Step 3: Cross multiply
    234.59x = 351.92 × 90.41
  4. Step 4: Simplify right side
    234.59x = 31,816.64
  5. Step 5: Solve for x
    x = 31,816.64/234.59
  6. Step 6: Final answer
    x = 135.63

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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.