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Finding the Fourth Proportional to 329.96, 494.42 and 214.20

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Solution

The fourth proportional to 329.96, 494.42 and 214.20 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 494.42 = 214.20 : x
  2. Step 2: Convert to fraction form
    329.96/494.42 = 214.20/x
  3. Step 3: Cross multiply
    329.96x = 494.42 × 214.20
  4. Step 4: Simplify right side
    329.96x = 105,904.76
  5. Step 5: Solve for x
    x = 105,904.76/329.96
  6. Step 6: Final answer
    x = 320.96

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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.