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Finding the Fourth Proportional to 309.55, 464.24 and 193.87

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Solution

The fourth proportional to 309.55, 464.24 and 193.87 is: 290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.55 : 464.24 = 193.87 : x
  2. Step 2: Convert to fraction form
    309.55/464.24 = 193.87/x
  3. Step 3: Cross multiply
    309.55x = 464.24 × 193.87
  4. Step 4: Simplify right side
    309.55x = 90,002.21
  5. Step 5: Solve for x
    x = 90,002.21/309.55
  6. Step 6: Final answer
    x = 290.75

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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.