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Finding the Fourth Proportional to 307.20, 460.89 and 133.78

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Solution

The fourth proportional to 307.20, 460.89 and 133.78 is: 200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.20 : 460.89 = 133.78 : x
  2. Step 2: Convert to fraction form
    307.20/460.89 = 133.78/x
  3. Step 3: Cross multiply
    307.20x = 460.89 × 133.78
  4. Step 4: Simplify right side
    307.20x = 61,657.86
  5. Step 5: Solve for x
    x = 61,657.86/307.20
  6. Step 6: Final answer
    x = 200.71

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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.