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Finding the Fourth Proportional to 307.44, 461.57 and 296.91

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Solution

The fourth proportional to 307.44, 461.57 and 296.91 is: 445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 461.57 = 296.91 : x
  2. Step 2: Convert to fraction form
    307.44/461.57 = 296.91/x
  3. Step 3: Cross multiply
    307.44x = 461.57 × 296.91
  4. Step 4: Simplify right side
    307.44x = 137,043.26
  5. Step 5: Solve for x
    x = 137,043.26/307.44
  6. Step 6: Final answer
    x = 445.76

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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.