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Finding the Fourth Proportional to 307.98, 462.24 and 154.26

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Solution

The fourth proportional to 307.98, 462.24 and 154.26 is: 231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 462.24 = 154.26 : x
  2. Step 2: Convert to fraction form
    307.98/462.24 = 154.26/x
  3. Step 3: Cross multiply
    307.98x = 462.24 × 154.26
  4. Step 4: Simplify right side
    307.98x = 71,305.14
  5. Step 5: Solve for x
    x = 71,305.14/307.98
  6. Step 6: Final answer
    x = 231.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.