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Finding the Fourth Proportional to 666.37, 999.51 and 204.11

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Solution

The fourth proportional to 666.37, 999.51 and 204.11 is: 306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.37 : 999.51 = 204.11 : x
  2. Step 2: Convert to fraction form
    666.37/999.51 = 204.11/x
  3. Step 3: Cross multiply
    666.37x = 999.51 × 204.11
  4. Step 4: Simplify right side
    666.37x = 204,003.97
  5. Step 5: Solve for x
    x = 204,003.97/666.37
  6. Step 6: Final answer
    x = 306.14

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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.