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Finding the Fourth Proportional to 307.05, 426.08 and 295.17

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Solution

The fourth proportional to 307.05, 426.08 and 295.17 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.05 : 426.08 = 295.17 : x
  2. Step 2: Convert to fraction form
    307.05/426.08 = 295.17/x
  3. Step 3: Cross multiply
    307.05x = 426.08 × 295.17
  4. Step 4: Simplify right side
    307.05x = 125,764.56
  5. Step 5: Solve for x
    x = 125,764.56/307.05
  6. Step 6: Final answer
    x = 409.59

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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.