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Finding the Fourth Proportional to 329.05, 490.58 and 320.63

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Solution

The fourth proportional to 329.05, 490.58 and 320.63 is: 478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.05 : 490.58 = 320.63 : x
  2. Step 2: Convert to fraction form
    329.05/490.58 = 320.63/x
  3. Step 3: Cross multiply
    329.05x = 490.58 × 320.63
  4. Step 4: Simplify right side
    329.05x = 157,294.29
  5. Step 5: Solve for x
    x = 157,294.29/329.05
  6. Step 6: Final answer
    x = 478.03

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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.