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Finding the Fourth Proportional to 443.18, 611.42 and 268.46

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Solution

The fourth proportional to 443.18, 611.42 and 268.46 is: 370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.18 : 611.42 = 268.46 : x
  2. Step 2: Convert to fraction form
    443.18/611.42 = 268.46/x
  3. Step 3: Cross multiply
    443.18x = 611.42 × 268.46
  4. Step 4: Simplify right side
    443.18x = 164,141.81
  5. Step 5: Solve for x
    x = 164,141.81/443.18
  6. Step 6: Final answer
    x = 370.37

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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.