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Finding the Fourth Proportional to 348.34, 480.72 and 193.09

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Solution

The fourth proportional to 348.34, 480.72 and 193.09 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.34 : 480.72 = 193.09 : x
  2. Step 2: Convert to fraction form
    348.34/480.72 = 193.09/x
  3. Step 3: Cross multiply
    348.34x = 480.72 × 193.09
  4. Step 4: Simplify right side
    348.34x = 92,822.22
  5. Step 5: Solve for x
    x = 92,822.22/348.34
  6. Step 6: Final answer
    x = 266.47

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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.