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Finding the Fourth Proportional to 298.62, 411.98 and 285.89

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Solution

The fourth proportional to 298.62, 411.98 and 285.89 is: 394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.62 : 411.98 = 285.89 : x
  2. Step 2: Convert to fraction form
    298.62/411.98 = 285.89/x
  3. Step 3: Cross multiply
    298.62x = 411.98 × 285.89
  4. Step 4: Simplify right side
    298.62x = 117,777.47
  5. Step 5: Solve for x
    x = 117,777.47/298.62
  6. Step 6: Final answer
    x = 394.41

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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.