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Finding the Fourth Proportional to 250.19, 375.20 and 196.19

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Solution

The fourth proportional to 250.19, 375.20 and 196.19 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.19 : 375.20 = 196.19 : x
  2. Step 2: Convert to fraction form
    250.19/375.20 = 196.19/x
  3. Step 3: Cross multiply
    250.19x = 375.20 × 196.19
  4. Step 4: Simplify right side
    250.19x = 73,609.51
  5. Step 5: Solve for x
    x = 73,609.51/250.19
  6. Step 6: Final answer
    x = 294.21

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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.