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Finding the Fourth Proportional to 492.94, 680.31 and 283.19

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Solution

The fourth proportional to 492.94, 680.31 and 283.19 is: 390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.94 : 680.31 = 283.19 : x
  2. Step 2: Convert to fraction form
    492.94/680.31 = 283.19/x
  3. Step 3: Cross multiply
    492.94x = 680.31 × 283.19
  4. Step 4: Simplify right side
    492.94x = 192,656.99
  5. Step 5: Solve for x
    x = 192,656.99/492.94
  6. Step 6: Final answer
    x = 390.83

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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.