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Finding the Fourth Proportional to 307.27, 461.07 and 144.96

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Solution

The fourth proportional to 307.27, 461.07 and 144.96 is: 217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.27 : 461.07 = 144.96 : x
  2. Step 2: Convert to fraction form
    307.27/461.07 = 144.96/x
  3. Step 3: Cross multiply
    307.27x = 461.07 × 144.96
  4. Step 4: Simplify right side
    307.27x = 66,836.71
  5. Step 5: Solve for x
    x = 66,836.71/307.27
  6. Step 6: Final answer
    x = 217.52

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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.