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Finding the Fourth Proportional to 307.07, 424.68 and 274.27

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Solution

The fourth proportional to 307.07, 424.68 and 274.27 is: 379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.07 : 424.68 = 274.27 : x
  2. Step 2: Convert to fraction form
    307.07/424.68 = 274.27/x
  3. Step 3: Cross multiply
    307.07x = 424.68 × 274.27
  4. Step 4: Simplify right side
    307.07x = 116,476.98
  5. Step 5: Solve for x
    x = 116,476.98/307.07
  6. Step 6: Final answer
    x = 379.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.