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Finding the Fourth Proportional to 492.57, 679.68 and 282.78

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Solution

The fourth proportional to 492.57, 679.68 and 282.78 is: 390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.57 : 679.68 = 282.78 : x
  2. Step 2: Convert to fraction form
    492.57/679.68 = 282.78/x
  3. Step 3: Cross multiply
    492.57x = 679.68 × 282.78
  4. Step 4: Simplify right side
    492.57x = 192,199.91
  5. Step 5: Solve for x
    x = 192,199.91/492.57
  6. Step 6: Final answer
    x = 390.20

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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.