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Finding the Fourth Proportional to 604.37, 906.78 and 214.40

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Solution

The fourth proportional to 604.37, 906.78 and 214.40 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.37 : 906.78 = 214.40 : x
  2. Step 2: Convert to fraction form
    604.37/906.78 = 214.40/x
  3. Step 3: Cross multiply
    604.37x = 906.78 × 214.40
  4. Step 4: Simplify right side
    604.37x = 194,413.63
  5. Step 5: Solve for x
    x = 194,413.63/604.37
  6. Step 6: Final answer
    x = 321.68

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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.