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Finding the Fourth Proportional to 443.61, 665.09 and 258.73

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Solution

The fourth proportional to 443.61, 665.09 and 258.73 is: 387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.61 : 665.09 = 258.73 : x
  2. Step 2: Convert to fraction form
    443.61/665.09 = 258.73/x
  3. Step 3: Cross multiply
    443.61x = 665.09 × 258.73
  4. Step 4: Simplify right side
    443.61x = 172,078.74
  5. Step 5: Solve for x
    x = 172,078.74/443.61
  6. Step 6: Final answer
    x = 387.91

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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.