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Finding the Fourth Proportional to 604.98, 906.80 and 258.21

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Solution

The fourth proportional to 604.98, 906.80 and 258.21 is: 387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.98 : 906.80 = 258.21 : x
  2. Step 2: Convert to fraction form
    604.98/906.80 = 258.21/x
  3. Step 3: Cross multiply
    604.98x = 906.80 × 258.21
  4. Step 4: Simplify right side
    604.98x = 234,143.54
  5. Step 5: Solve for x
    x = 234,143.54/604.98
  6. Step 6: Final answer
    x = 387.03

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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.