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Finding the Fourth Proportional to 307.68, 427.37 and 299.04

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Solution

The fourth proportional to 307.68, 427.37 and 299.04 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 427.37 = 299.04 : x
  2. Step 2: Convert to fraction form
    307.68/427.37 = 299.04/x
  3. Step 3: Cross multiply
    307.68x = 427.37 × 299.04
  4. Step 4: Simplify right side
    307.68x = 127,800.72
  5. Step 5: Solve for x
    x = 127,800.72/307.68
  6. Step 6: Final answer
    x = 415.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.