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Finding the Fourth Proportional to 307.89, 461.87 and 125.26

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Solution

The fourth proportional to 307.89, 461.87 and 125.26 is: 187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.89 : 461.87 = 125.26 : x
  2. Step 2: Convert to fraction form
    307.89/461.87 = 125.26/x
  3. Step 3: Cross multiply
    307.89x = 461.87 × 125.26
  4. Step 4: Simplify right side
    307.89x = 57,850.90
  5. Step 5: Solve for x
    x = 57,850.90/307.89
  6. Step 6: Final answer
    x = 187.89

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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.