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Finding the Fourth Proportional to 328.48, 492 and 206.80

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Solution

The fourth proportional to 328.48, 492 and 206.80 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.48 : 492 = 206.80 : x
  2. Step 2: Convert to fraction form
    328.48/492 = 206.80/x
  3. Step 3: Cross multiply
    328.48x = 492 × 206.80
  4. Step 4: Simplify right side
    328.48x = 101,745.60
  5. Step 5: Solve for x
    x = 101,745.60/328.48
  6. Step 6: Final answer
    x = 309.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.