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Finding the Fourth Proportional to 329.06, 492.89 and 213.16

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Solution

The fourth proportional to 329.06, 492.89 and 213.16 is: 319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 492.89 = 213.16 : x
  2. Step 2: Convert to fraction form
    329.06/492.89 = 213.16/x
  3. Step 3: Cross multiply
    329.06x = 492.89 × 213.16
  4. Step 4: Simplify right side
    329.06x = 105,066.14
  5. Step 5: Solve for x
    x = 105,066.14/329.06
  6. Step 6: Final answer
    x = 319.29

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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.