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Finding the Fourth Proportional to 307.02, 427.09 and 301.08

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Solution

The fourth proportional to 307.02, 427.09 and 301.08 is: 418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.02 : 427.09 = 301.08 : x
  2. Step 2: Convert to fraction form
    307.02/427.09 = 301.08/x
  3. Step 3: Cross multiply
    307.02x = 427.09 × 301.08
  4. Step 4: Simplify right side
    307.02x = 128,588.26
  5. Step 5: Solve for x
    x = 128,588.26/307.02
  6. Step 6: Final answer
    x = 418.83

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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.