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Finding the Fourth Proportional to 272.98, 376.82 and 190.13

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Solution

The fourth proportional to 272.98, 376.82 and 190.13 is: 262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.98 : 376.82 = 190.13 : x
  2. Step 2: Convert to fraction form
    272.98/376.82 = 190.13/x
  3. Step 3: Cross multiply
    272.98x = 376.82 × 190.13
  4. Step 4: Simplify right side
    272.98x = 71,644.78
  5. Step 5: Solve for x
    x = 71,644.78/272.98
  6. Step 6: Final answer
    x = 262.46

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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.