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Finding the Fourth Proportional to 348.10, 480.44 and 200.76

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Solution

The fourth proportional to 348.10, 480.44 and 200.76 is: 277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 480.44 = 200.76 : x
  2. Step 2: Convert to fraction form
    348.10/480.44 = 200.76/x
  3. Step 3: Cross multiply
    348.10x = 480.44 × 200.76
  4. Step 4: Simplify right side
    348.10x = 96,453.13
  5. Step 5: Solve for x
    x = 96,453.13/348.10
  6. Step 6: Final answer
    x = 277.08

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