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Finding the Fourth Proportional to 199.89, 299.84 and 151.70

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Solution

The fourth proportional to 199.89, 299.84 and 151.70 is: 227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 299.84 = 151.70 : x
  2. Step 2: Convert to fraction form
    199.89/299.84 = 151.70/x
  3. Step 3: Cross multiply
    199.89x = 299.84 × 151.70
  4. Step 4: Simplify right side
    199.89x = 45,483.47
  5. Step 5: Solve for x
    x = 45,483.47/199.89
  6. Step 6: Final answer
    x = 227.54

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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.