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Finding the Fourth Proportional to 348.14, 480.51 and 200.83

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Solution

The fourth proportional to 348.14, 480.51 and 200.83 is: 277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 480.51 = 200.83 : x
  2. Step 2: Convert to fraction form
    348.14/480.51 = 200.83/x
  3. Step 3: Cross multiply
    348.14x = 480.51 × 200.83
  4. Step 4: Simplify right side
    348.14x = 96,499.62
  5. Step 5: Solve for x
    x = 96,499.62/348.14
  6. Step 6: Final answer
    x = 277.19

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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.