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Finding the Fourth Proportional to 301.84, 418.48 and 285.44

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Solution

The fourth proportional to 301.84, 418.48 and 285.44 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 418.48 = 285.44 : x
  2. Step 2: Convert to fraction form
    301.84/418.48 = 285.44/x
  3. Step 3: Cross multiply
    301.84x = 418.48 × 285.44
  4. Step 4: Simplify right side
    301.84x = 119,450.93
  5. Step 5: Solve for x
    x = 119,450.93/301.84
  6. Step 6: Final answer
    x = 395.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.