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Finding the Fourth Proportional to 204.04, 304.09 and 200.40

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Solution

The fourth proportional to 204.04, 304.09 and 200.40 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.04 : 304.09 = 200.40 : x
  2. Step 2: Convert to fraction form
    204.04/304.09 = 200.40/x
  3. Step 3: Cross multiply
    204.04x = 304.09 × 200.40
  4. Step 4: Simplify right side
    204.04x = 60,939.64
  5. Step 5: Solve for x
    x = 60,939.64/204.04
  6. Step 6: Final answer
    x = 298.67

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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.