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Finding the Fourth Proportional to 199.65, 298.16 and 171.94

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Solution

The fourth proportional to 199.65, 298.16 and 171.94 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.65 : 298.16 = 171.94 : x
  2. Step 2: Convert to fraction form
    199.65/298.16 = 171.94/x
  3. Step 3: Cross multiply
    199.65x = 298.16 × 171.94
  4. Step 4: Simplify right side
    199.65x = 51,265.63
  5. Step 5: Solve for x
    x = 51,265.63/199.65
  6. Step 6: Final answer
    x = 256.78

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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.