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Finding the Fourth Proportional to 199.03, 297.26 and 171.69

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Solution

The fourth proportional to 199.03, 297.26 and 171.69 is: 256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.03 : 297.26 = 171.69 : x
  2. Step 2: Convert to fraction form
    199.03/297.26 = 171.69/x
  3. Step 3: Cross multiply
    199.03x = 297.26 × 171.69
  4. Step 4: Simplify right side
    199.03x = 51,035.71
  5. Step 5: Solve for x
    x = 51,035.71/199.03
  6. Step 6: Final answer
    x = 256.43

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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.