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Finding the Fourth Proportional to 307.87, 461.90 and 112.91

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Solution

The fourth proportional to 307.87, 461.90 and 112.91 is: 169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.87 : 461.90 = 112.91 : x
  2. Step 2: Convert to fraction form
    307.87/461.90 = 112.91/x
  3. Step 3: Cross multiply
    307.87x = 461.90 × 112.91
  4. Step 4: Simplify right side
    307.87x = 52,151.10
  5. Step 5: Solve for x
    x = 52,151.10/307.87
  6. Step 6: Final answer
    x = 169.39

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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.