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Finding the Fourth Proportional to 323.64, 484.25 and 193.71

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Solution

The fourth proportional to 323.64, 484.25 and 193.71 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.64 : 484.25 = 193.71 : x
  2. Step 2: Convert to fraction form
    323.64/484.25 = 193.71/x
  3. Step 3: Cross multiply
    323.64x = 484.25 × 193.71
  4. Step 4: Simplify right side
    323.64x = 93,804.07
  5. Step 5: Solve for x
    x = 93,804.07/323.64
  6. Step 6: Final answer
    x = 289.85

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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.