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Finding the Fourth Proportional to 329.60, 491.42 and 321.06

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Solution

The fourth proportional to 329.60, 491.42 and 321.06 is: 478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 491.42 = 321.06 : x
  2. Step 2: Convert to fraction form
    329.60/491.42 = 321.06/x
  3. Step 3: Cross multiply
    329.60x = 491.42 × 321.06
  4. Step 4: Simplify right side
    329.60x = 157,775.31
  5. Step 5: Solve for x
    x = 157,775.31/329.60
  6. Step 6: Final answer
    x = 478.69

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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.