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Finding the Fourth Proportional to 199.18, 299.00 and 118.20

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Solution

The fourth proportional to 199.18, 299.00 and 118.20 is: 177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.18 : 299.00 = 118.20 : x
  2. Step 2: Convert to fraction form
    199.18/299.00 = 118.20/x
  3. Step 3: Cross multiply
    199.18x = 299.00 × 118.20
  4. Step 4: Simplify right side
    199.18x = 35,341.28
  5. Step 5: Solve for x
    x = 35,341.28/199.18
  6. Step 6: Final answer
    x = 177.43

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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.