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Finding the Fourth Proportional to 298.98, 411.67 and 286.68

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Solution

The fourth proportional to 298.98, 411.67 and 286.68 is: 394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 411.67 = 286.68 : x
  2. Step 2: Convert to fraction form
    298.98/411.67 = 286.68/x
  3. Step 3: Cross multiply
    298.98x = 411.67 × 286.68
  4. Step 4: Simplify right side
    298.98x = 118,017.56
  5. Step 5: Solve for x
    x = 118,017.56/298.98
  6. Step 6: Final answer
    x = 394.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.