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Finding the Fourth Proportional to 285.92, 394.57 and 212.34

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Solution

The fourth proportional to 285.92, 394.57 and 212.34 is: 293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 394.57 = 212.34 : x
  2. Step 2: Convert to fraction form
    285.92/394.57 = 212.34/x
  3. Step 3: Cross multiply
    285.92x = 394.57 × 212.34
  4. Step 4: Simplify right side
    285.92x = 83,782.99
  5. Step 5: Solve for x
    x = 83,782.99/285.92
  6. Step 6: Final answer
    x = 293.03

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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.