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Finding the Fourth Proportional to 492.59, 679.79 and 282.78

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Solution

The fourth proportional to 492.59, 679.79 and 282.78 is: 390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.59 : 679.79 = 282.78 : x
  2. Step 2: Convert to fraction form
    492.59/679.79 = 282.78/x
  3. Step 3: Cross multiply
    492.59x = 679.79 × 282.78
  4. Step 4: Simplify right side
    492.59x = 192,231.02
  5. Step 5: Solve for x
    x = 192,231.02/492.59
  6. Step 6: Final answer
    x = 390.25

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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.