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Finding the Fourth Proportional to 199.96, 301.06 and 173.50

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Solution

The fourth proportional to 199.96, 301.06 and 173.50 is: 261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.96 : 301.06 = 173.50 : x
  2. Step 2: Convert to fraction form
    199.96/301.06 = 173.50/x
  3. Step 3: Cross multiply
    199.96x = 301.06 × 173.50
  4. Step 4: Simplify right side
    199.96x = 52,233.91
  5. Step 5: Solve for x
    x = 52,233.91/199.96
  6. Step 6: Final answer
    x = 261.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.