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Finding the Fourth Proportional to 394.85, 537.73 and 392.42

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Solution

The fourth proportional to 394.85, 537.73 and 392.42 is: 534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.85 : 537.73 = 392.42 : x
  2. Step 2: Convert to fraction form
    394.85/537.73 = 392.42/x
  3. Step 3: Cross multiply
    394.85x = 537.73 × 392.42
  4. Step 4: Simplify right side
    394.85x = 211,016.01
  5. Step 5: Solve for x
    x = 211,016.01/394.85
  6. Step 6: Final answer
    x = 534.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.