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Finding the Fourth Proportional to 309.88, 464.97 and 136.53

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Solution

The fourth proportional to 309.88, 464.97 and 136.53 is: 204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 464.97 = 136.53 : x
  2. Step 2: Convert to fraction form
    309.88/464.97 = 136.53/x
  3. Step 3: Cross multiply
    309.88x = 464.97 × 136.53
  4. Step 4: Simplify right side
    309.88x = 63,481.12
  5. Step 5: Solve for x
    x = 63,481.12/309.88
  6. Step 6: Final answer
    x = 204.86

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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.