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Finding the Fourth Proportional to 204.12, 305.10 and 165.18

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Solution

The fourth proportional to 204.12, 305.10 and 165.18 is: 246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.12 : 305.10 = 165.18 : x
  2. Step 2: Convert to fraction form
    204.12/305.10 = 165.18/x
  3. Step 3: Cross multiply
    204.12x = 305.10 × 165.18
  4. Step 4: Simplify right side
    204.12x = 50,396.42
  5. Step 5: Solve for x
    x = 50,396.42/204.12
  6. Step 6: Final answer
    x = 246.90

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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.