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Finding the Fourth Proportional to 307.91, 461.57 and 145.41

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Solution

The fourth proportional to 307.91, 461.57 and 145.41 is: 217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.91 : 461.57 = 145.41 : x
  2. Step 2: Convert to fraction form
    307.91/461.57 = 145.41/x
  3. Step 3: Cross multiply
    307.91x = 461.57 × 145.41
  4. Step 4: Simplify right side
    307.91x = 67,114.44
  5. Step 5: Solve for x
    x = 67,114.44/307.91
  6. Step 6: Final answer
    x = 217.97

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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.