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Finding the Fourth Proportional to 307.75, 461.39 and 134.41

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Solution

The fourth proportional to 307.75, 461.39 and 134.41 is: 201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 461.39 = 134.41 : x
  2. Step 2: Convert to fraction form
    307.75/461.39 = 134.41/x
  3. Step 3: Cross multiply
    307.75x = 461.39 × 134.41
  4. Step 4: Simplify right side
    307.75x = 62,013.12
  5. Step 5: Solve for x
    x = 62,013.12/307.75
  6. Step 6: Final answer
    x = 201.51

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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.