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Finding the Fourth Proportional to 443.57, 664.30 and 258.09

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Solution

The fourth proportional to 443.57, 664.30 and 258.09 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.57 : 664.30 = 258.09 : x
  2. Step 2: Convert to fraction form
    443.57/664.30 = 258.09/x
  3. Step 3: Cross multiply
    443.57x = 664.30 × 258.09
  4. Step 4: Simplify right side
    443.57x = 171,447.02
  5. Step 5: Solve for x
    x = 171,447.02/443.57
  6. Step 6: Final answer
    x = 386.52

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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.