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Finding the Fourth Proportional to 285.75, 394.34 and 212.42

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Solution

The fourth proportional to 285.75, 394.34 and 212.42 is: 293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 394.34 = 212.42 : x
  2. Step 2: Convert to fraction form
    285.75/394.34 = 212.42/x
  3. Step 3: Cross multiply
    285.75x = 394.34 × 212.42
  4. Step 4: Simplify right side
    285.75x = 83,762.67
  5. Step 5: Solve for x
    x = 83,762.67/285.75
  6. Step 6: Final answer
    x = 293.13

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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.