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Finding the Fourth Proportional to 307.28, 421.96 and 274.52

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Solution

The fourth proportional to 307.28, 421.96 and 274.52 is: 376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.28 : 421.96 = 274.52 : x
  2. Step 2: Convert to fraction form
    307.28/421.96 = 274.52/x
  3. Step 3: Cross multiply
    307.28x = 421.96 × 274.52
  4. Step 4: Simplify right side
    307.28x = 115,836.46
  5. Step 5: Solve for x
    x = 115,836.46/307.28
  6. Step 6: Final answer
    x = 376.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.