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Finding the Fourth Proportional to 298.54, 406.63 and 297.73

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Solution

The fourth proportional to 298.54, 406.63 and 297.73 is: 405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.54 : 406.63 = 297.73 : x
  2. Step 2: Convert to fraction form
    298.54/406.63 = 297.73/x
  3. Step 3: Cross multiply
    298.54x = 406.63 × 297.73
  4. Step 4: Simplify right side
    298.54x = 121,065.95
  5. Step 5: Solve for x
    x = 121,065.95/298.54
  6. Step 6: Final answer
    x = 405.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.