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Finding the Fourth Proportional to 199.83, 299.45 and 118.48

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Solution

The fourth proportional to 199.83, 299.45 and 118.48 is: 177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.83 : 299.45 = 118.48 : x
  2. Step 2: Convert to fraction form
    199.83/299.45 = 118.48/x
  3. Step 3: Cross multiply
    199.83x = 299.45 × 118.48
  4. Step 4: Simplify right side
    199.83x = 35,478.28
  5. Step 5: Solve for x
    x = 35,478.28/199.83
  6. Step 6: Final answer
    x = 177.54

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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.