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Finding the Fourth Proportional to 349.75, 482.69 and 194.50

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Solution

The fourth proportional to 349.75, 482.69 and 194.50 is: 268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.75 : 482.69 = 194.50 : x
  2. Step 2: Convert to fraction form
    349.75/482.69 = 194.50/x
  3. Step 3: Cross multiply
    349.75x = 482.69 × 194.50
  4. Step 4: Simplify right side
    349.75x = 93,883.21
  5. Step 5: Solve for x
    x = 93,883.21/349.75
  6. Step 6: Final answer
    x = 268.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.