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Finding the Fourth Proportional to 329.06, 491.21 and 282.89

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Solution

The fourth proportional to 329.06, 491.21 and 282.89 is: 422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 491.21 = 282.89 : x
  2. Step 2: Convert to fraction form
    329.06/491.21 = 282.89/x
  3. Step 3: Cross multiply
    329.06x = 491.21 × 282.89
  4. Step 4: Simplify right side
    329.06x = 138,960.86
  5. Step 5: Solve for x
    x = 138,960.86/329.06
  6. Step 6: Final answer
    x = 422.29

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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.