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Finding the Fourth Proportional to 297.81, 443.43 and 294.54

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Solution

The fourth proportional to 297.81, 443.43 and 294.54 is: 438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 443.43 = 294.54 : x
  2. Step 2: Convert to fraction form
    297.81/443.43 = 294.54/x
  3. Step 3: Cross multiply
    297.81x = 443.43 × 294.54
  4. Step 4: Simplify right side
    297.81x = 130,607.87
  5. Step 5: Solve for x
    x = 130,607.87/297.81
  6. Step 6: Final answer
    x = 438.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.