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Finding the Fourth Proportional to 492.26, 679.50 and 305.78

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Solution

The fourth proportional to 492.26, 679.50 and 305.78 is: 422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.26 : 679.50 = 305.78 : x
  2. Step 2: Convert to fraction form
    492.26/679.50 = 305.78/x
  3. Step 3: Cross multiply
    492.26x = 679.50 × 305.78
  4. Step 4: Simplify right side
    492.26x = 207,777.51
  5. Step 5: Solve for x
    x = 207,777.51/492.26
  6. Step 6: Final answer
    x = 422.09

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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.