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Finding the Fourth Proportional to 348.14, 480.42 and 192.90

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Solution

The fourth proportional to 348.14, 480.42 and 192.90 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 480.42 = 192.90 : x
  2. Step 2: Convert to fraction form
    348.14/480.42 = 192.90/x
  3. Step 3: Cross multiply
    348.14x = 480.42 × 192.90
  4. Step 4: Simplify right side
    348.14x = 92,673.02
  5. Step 5: Solve for x
    x = 92,673.02/348.14
  6. Step 6: Final answer
    x = 266.19

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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.