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Finding the Fourth Proportional to 347.91, 480.09 and 196.50

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Solution

The fourth proportional to 347.91, 480.09 and 196.50 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.91 : 480.09 = 196.50 : x
  2. Step 2: Convert to fraction form
    347.91/480.09 = 196.50/x
  3. Step 3: Cross multiply
    347.91x = 480.09 × 196.50
  4. Step 4: Simplify right side
    347.91x = 94,337.69
  5. Step 5: Solve for x
    x = 94,337.69/347.91
  6. Step 6: Final answer
    x = 271.16

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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.