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Finding the Fourth Proportional to 199.50, 296.16 and 196.26

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Solution

The fourth proportional to 199.50, 296.16 and 196.26 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 296.16 = 196.26 : x
  2. Step 2: Convert to fraction form
    199.50/296.16 = 196.26/x
  3. Step 3: Cross multiply
    199.50x = 296.16 × 196.26
  4. Step 4: Simplify right side
    199.50x = 58,124.36
  5. Step 5: Solve for x
    x = 58,124.36/199.50
  6. Step 6: Final answer
    x = 291.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.