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Finding the Fourth Proportional to 492.69, 679.94 and 296.22

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Solution

The fourth proportional to 492.69, 679.94 and 296.22 is: 408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.69 : 679.94 = 296.22 : x
  2. Step 2: Convert to fraction form
    492.69/679.94 = 296.22/x
  3. Step 3: Cross multiply
    492.69x = 679.94 × 296.22
  4. Step 4: Simplify right side
    492.69x = 201,411.83
  5. Step 5: Solve for x
    x = 201,411.83/492.69
  6. Step 6: Final answer
    x = 408.80

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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.