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Finding the Fourth Proportional to 307.89, 462.50 and 186.22

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Solution

The fourth proportional to 307.89, 462.50 and 186.22 is: 279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.89 : 462.50 = 186.22 : x
  2. Step 2: Convert to fraction form
    307.89/462.50 = 186.22/x
  3. Step 3: Cross multiply
    307.89x = 462.50 × 186.22
  4. Step 4: Simplify right side
    307.89x = 86,126.75
  5. Step 5: Solve for x
    x = 86,126.75/307.89
  6. Step 6: Final answer
    x = 279.73

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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.