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Finding the Fourth Proportional to 443.47, 611.94 and 268.84

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Solution

The fourth proportional to 443.47, 611.94 and 268.84 is: 370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.47 : 611.94 = 268.84 : x
  2. Step 2: Convert to fraction form
    443.47/611.94 = 268.84/x
  3. Step 3: Cross multiply
    443.47x = 611.94 × 268.84
  4. Step 4: Simplify right side
    443.47x = 164,513.95
  5. Step 5: Solve for x
    x = 164,513.95/443.47
  6. Step 6: Final answer
    x = 370.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.