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Finding the Fourth Proportional to 297.37, 443.14 and 287.58

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Solution

The fourth proportional to 297.37, 443.14 and 287.58 is: 428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.37 : 443.14 = 287.58 : x
  2. Step 2: Convert to fraction form
    297.37/443.14 = 287.58/x
  3. Step 3: Cross multiply
    297.37x = 443.14 × 287.58
  4. Step 4: Simplify right side
    297.37x = 127,439.14
  5. Step 5: Solve for x
    x = 127,439.14/297.37
  6. Step 6: Final answer
    x = 428.55

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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.