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Finding the Fourth Proportional to 666.54, 999.72 and 204.30

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Solution

The fourth proportional to 666.54, 999.72 and 204.30 is: 306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.54 : 999.72 = 204.30 : x
  2. Step 2: Convert to fraction form
    666.54/999.72 = 204.30/x
  3. Step 3: Cross multiply
    666.54x = 999.72 × 204.30
  4. Step 4: Simplify right side
    666.54x = 204,242.80
  5. Step 5: Solve for x
    x = 204,242.80/666.54
  6. Step 6: Final answer
    x = 306.42

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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.