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Finding the Fourth Proportional to 285.75, 393.97 and 211.94

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Solution

The fourth proportional to 285.75, 393.97 and 211.94 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 393.97 = 211.94 : x
  2. Step 2: Convert to fraction form
    285.75/393.97 = 211.94/x
  3. Step 3: Cross multiply
    285.75x = 393.97 × 211.94
  4. Step 4: Simplify right side
    285.75x = 83,498.00
  5. Step 5: Solve for x
    x = 83,498.00/285.75
  6. Step 6: Final answer
    x = 292.21

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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.