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Finding the Fourth Proportional to 492.04, 679.08 and 295.68

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Solution

The fourth proportional to 492.04, 679.08 and 295.68 is: 408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.04 : 679.08 = 295.68 : x
  2. Step 2: Convert to fraction form
    492.04/679.08 = 295.68/x
  3. Step 3: Cross multiply
    492.04x = 679.08 × 295.68
  4. Step 4: Simplify right side
    492.04x = 200,790.37
  5. Step 5: Solve for x
    x = 200,790.37/492.04
  6. Step 6: Final answer
    x = 408.08

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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.