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Finding the Fourth Proportional to 309.88, 464.13 and 193.94

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Solution

The fourth proportional to 309.88, 464.13 and 193.94 is: 290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 464.13 = 193.94 : x
  2. Step 2: Convert to fraction form
    309.88/464.13 = 193.94/x
  3. Step 3: Cross multiply
    309.88x = 464.13 × 193.94
  4. Step 4: Simplify right side
    309.88x = 90,015.40
  5. Step 5: Solve for x
    x = 90,015.40/309.88
  6. Step 6: Final answer
    x = 290.49

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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.