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Finding the Fourth Proportional to 307.59, 426.21 and 301.11

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Solution

The fourth proportional to 307.59, 426.21 and 301.11 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.59 : 426.21 = 301.11 : x
  2. Step 2: Convert to fraction form
    307.59/426.21 = 301.11/x
  3. Step 3: Cross multiply
    307.59x = 426.21 × 301.11
  4. Step 4: Simplify right side
    307.59x = 128,336.09
  5. Step 5: Solve for x
    x = 128,336.09/307.59
  6. Step 6: Final answer
    x = 417.23

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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.