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Finding the Fourth Proportional to 297.54, 443.88 and 262.98

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Solution

The fourth proportional to 297.54, 443.88 and 262.98 is: 392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 443.88 = 262.98 : x
  2. Step 2: Convert to fraction form
    297.54/443.88 = 262.98/x
  3. Step 3: Cross multiply
    297.54x = 443.88 × 262.98
  4. Step 4: Simplify right side
    297.54x = 116,731.56
  5. Step 5: Solve for x
    x = 116,731.56/297.54
  6. Step 6: Final answer
    x = 392.32

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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.