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Finding the Fourth Proportional to 605.00, 906.87 and 234.71

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Solution

The fourth proportional to 605.00, 906.87 and 234.71 is: 351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.00 : 906.87 = 234.71 : x
  2. Step 2: Convert to fraction form
    605.00/906.87 = 234.71/x
  3. Step 3: Cross multiply
    605.00x = 906.87 × 234.71
  4. Step 4: Simplify right side
    605.00x = 212,846.92
  5. Step 5: Solve for x
    x = 212,846.92/605.00
  6. Step 6: Final answer
    x = 351.82

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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.