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Finding the Fourth Proportional to 329.83, 492.14 and 299.05

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Solution

The fourth proportional to 329.83, 492.14 and 299.05 is: 446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.83 : 492.14 = 299.05 : x
  2. Step 2: Convert to fraction form
    329.83/492.14 = 299.05/x
  3. Step 3: Cross multiply
    329.83x = 492.14 × 299.05
  4. Step 4: Simplify right side
    329.83x = 147,174.47
  5. Step 5: Solve for x
    x = 147,174.47/329.83
  6. Step 6: Final answer
    x = 446.21

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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.