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Finding the Fourth Proportional to 604.05, 906.05 and 257.21

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Solution

The fourth proportional to 604.05, 906.05 and 257.21 is: 385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.05 : 906.05 = 257.21 : x
  2. Step 2: Convert to fraction form
    604.05/906.05 = 257.21/x
  3. Step 3: Cross multiply
    604.05x = 906.05 × 257.21
  4. Step 4: Simplify right side
    604.05x = 233,040.27
  5. Step 5: Solve for x
    x = 233,040.27/604.05
  6. Step 6: Final answer
    x = 385.80

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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.