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Finding the Fourth Proportional to 443.40, 664.33 and 269.53

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Solution

The fourth proportional to 443.40, 664.33 and 269.53 is: 403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.40 : 664.33 = 269.53 : x
  2. Step 2: Convert to fraction form
    443.40/664.33 = 269.53/x
  3. Step 3: Cross multiply
    443.40x = 664.33 × 269.53
  4. Step 4: Simplify right side
    443.40x = 179,054.28
  5. Step 5: Solve for x
    x = 179,054.28/443.40
  6. Step 6: Final answer
    x = 403.82

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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.