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Finding the Fourth Proportional to 248.36, 372.20 and 194

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Solution

The fourth proportional to 248.36, 372.20 and 194 is: 290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 372.20 = 194 : x
  2. Step 2: Convert to fraction form
    248.36/372.20 = 194/x
  3. Step 3: Cross multiply
    248.36x = 372.20 × 194
  4. Step 4: Simplify right side
    248.36x = 72,206.80
  5. Step 5: Solve for x
    x = 72,206.80/248.36
  6. Step 6: Final answer
    x = 290.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.