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Finding the Fourth Proportional to 329.87, 492.23 and 306.33

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Solution

The fourth proportional to 329.87, 492.23 and 306.33 is: 457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.87 : 492.23 = 306.33 : x
  2. Step 2: Convert to fraction form
    329.87/492.23 = 306.33/x
  3. Step 3: Cross multiply
    329.87x = 492.23 × 306.33
  4. Step 4: Simplify right side
    329.87x = 150,784.78
  5. Step 5: Solve for x
    x = 150,784.78/329.87
  6. Step 6: Final answer
    x = 457.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.