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Finding the Fourth Proportional to 492.10, 679.20 and 282.31

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Solution

The fourth proportional to 492.10, 679.20 and 282.31 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.10 : 679.20 = 282.31 : x
  2. Step 2: Convert to fraction form
    492.10/679.20 = 282.31/x
  3. Step 3: Cross multiply
    492.10x = 679.20 × 282.31
  4. Step 4: Simplify right side
    492.10x = 191,744.95
  5. Step 5: Solve for x
    x = 191,744.95/492.10
  6. Step 6: Final answer
    x = 389.65

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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.