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Finding the Fourth Proportional to 492.78, 680.15 and 282.99

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Solution

The fourth proportional to 492.78, 680.15 and 282.99 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 680.15 = 282.99 : x
  2. Step 2: Convert to fraction form
    492.78/680.15 = 282.99/x
  3. Step 3: Cross multiply
    492.78x = 680.15 × 282.99
  4. Step 4: Simplify right side
    492.78x = 192,477.31
  5. Step 5: Solve for x
    x = 192,477.31/492.78
  6. Step 6: Final answer
    x = 390.59

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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.