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Finding the Fourth Proportional to 850.05, 1,275.09 and 233.82

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Solution

The fourth proportional to 850.05, 1,275.09 and 233.82 is: 350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.05 : 1,275.09 = 233.82 : x
  2. Step 2: Convert to fraction form
    850.05/1,275.09 = 233.82/x
  3. Step 3: Cross multiply
    850.05x = 1,275.09 × 233.82
  4. Step 4: Simplify right side
    850.05x = 298,145.45
  5. Step 5: Solve for x
    x = 298,145.45/850.05
  6. Step 6: Final answer
    x = 350.74

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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.