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Finding the Fourth Proportional to 604.46, 906.75 and 214.43

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Solution

The fourth proportional to 604.46, 906.75 and 214.43 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.46 : 906.75 = 214.43 : x
  2. Step 2: Convert to fraction form
    604.46/906.75 = 214.43/x
  3. Step 3: Cross multiply
    604.46x = 906.75 × 214.43
  4. Step 4: Simplify right side
    604.46x = 194,429.87
  5. Step 5: Solve for x
    x = 194,429.87/604.46
  6. Step 6: Final answer
    x = 321.66

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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.