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Finding the Fourth Proportional to 200.04, 300.46 and 118.90

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Solution

The fourth proportional to 200.04, 300.46 and 118.90 is: 178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 300.46 = 118.90 : x
  2. Step 2: Convert to fraction form
    200.04/300.46 = 118.90/x
  3. Step 3: Cross multiply
    200.04x = 300.46 × 118.90
  4. Step 4: Simplify right side
    200.04x = 35,724.69
  5. Step 5: Solve for x
    x = 35,724.69/200.04
  6. Step 6: Final answer
    x = 178.59

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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.