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Finding the Fourth Proportional to 348.29, 480.63 and 196.86

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Solution

The fourth proportional to 348.29, 480.63 and 196.86 is: 271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.29 : 480.63 = 196.86 : x
  2. Step 2: Convert to fraction form
    348.29/480.63 = 196.86/x
  3. Step 3: Cross multiply
    348.29x = 480.63 × 196.86
  4. Step 4: Simplify right side
    348.29x = 94,616.23
  5. Step 5: Solve for x
    x = 94,616.23/348.29
  6. Step 6: Final answer
    x = 271.66

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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.