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Finding the Fourth Proportional to 329.41, 491.23 and 302.82

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Solution

The fourth proportional to 329.41, 491.23 and 302.82 is: 451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 491.23 = 302.82 : x
  2. Step 2: Convert to fraction form
    329.41/491.23 = 302.82/x
  3. Step 3: Cross multiply
    329.41x = 491.23 × 302.82
  4. Step 4: Simplify right side
    329.41x = 148,751.90
  5. Step 5: Solve for x
    x = 148,751.90/329.41
  6. Step 6: Final answer
    x = 451.57

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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.