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Finding the Fourth Proportional to 328.88, 492.57 and 206.84

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Solution

The fourth proportional to 328.88, 492.57 and 206.84 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.88 : 492.57 = 206.84 : x
  2. Step 2: Convert to fraction form
    328.88/492.57 = 206.84/x
  3. Step 3: Cross multiply
    328.88x = 492.57 × 206.84
  4. Step 4: Simplify right side
    328.88x = 101,884.41
  5. Step 5: Solve for x
    x = 101,884.41/328.88
  6. Step 6: Final answer
    x = 309.79

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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.