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Finding the Fourth Proportional to 492.67, 679.83 and 282.85

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Solution

The fourth proportional to 492.67, 679.83 and 282.85 is: 390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.67 : 679.83 = 282.85 : x
  2. Step 2: Convert to fraction form
    492.67/679.83 = 282.85/x
  3. Step 3: Cross multiply
    492.67x = 679.83 × 282.85
  4. Step 4: Simplify right side
    492.67x = 192,289.92
  5. Step 5: Solve for x
    x = 192,289.92/492.67
  6. Step 6: Final answer
    x = 390.30

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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.