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Finding the Fourth Proportional to 309.69, 464.13 and 193.86

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Solution

The fourth proportional to 309.69, 464.13 and 193.86 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.69 : 464.13 = 193.86 : x
  2. Step 2: Convert to fraction form
    309.69/464.13 = 193.86/x
  3. Step 3: Cross multiply
    309.69x = 464.13 × 193.86
  4. Step 4: Simplify right side
    309.69x = 89,976.24
  5. Step 5: Solve for x
    x = 89,976.24/309.69
  6. Step 6: Final answer
    x = 290.54

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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.