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Finding the Fourth Proportional to 307.90, 461.61 and 125.27

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Solution

The fourth proportional to 307.90, 461.61 and 125.27 is: 187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 461.61 = 125.27 : x
  2. Step 2: Convert to fraction form
    307.90/461.61 = 125.27/x
  3. Step 3: Cross multiply
    307.90x = 461.61 × 125.27
  4. Step 4: Simplify right side
    307.90x = 57,825.88
  5. Step 5: Solve for x
    x = 57,825.88/307.90
  6. Step 6: Final answer
    x = 187.81

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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.