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Finding the Fourth Proportional to 248.19, 370.82 and 194.12

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Solution

The fourth proportional to 248.19, 370.82 and 194.12 is: 290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.19 : 370.82 = 194.12 : x
  2. Step 2: Convert to fraction form
    248.19/370.82 = 194.12/x
  3. Step 3: Cross multiply
    248.19x = 370.82 × 194.12
  4. Step 4: Simplify right side
    248.19x = 71,983.58
  5. Step 5: Solve for x
    x = 71,983.58/248.19
  6. Step 6: Final answer
    x = 290.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.