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Finding the Fourth Proportional to 329.06, 492.38 and 206.55

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Solution

The fourth proportional to 329.06, 492.38 and 206.55 is: 309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 492.38 = 206.55 : x
  2. Step 2: Convert to fraction form
    329.06/492.38 = 206.55/x
  3. Step 3: Cross multiply
    329.06x = 492.38 × 206.55
  4. Step 4: Simplify right side
    329.06x = 101,700.83
  5. Step 5: Solve for x
    x = 101,700.83/329.06
  6. Step 6: Final answer
    x = 309.06

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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.