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Finding the Fourth Proportional to 489.26, 674.94 and 302.68

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Solution

The fourth proportional to 489.26, 674.94 and 302.68 is: 417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.26 : 674.94 = 302.68 : x
  2. Step 2: Convert to fraction form
    489.26/674.94 = 302.68/x
  3. Step 3: Cross multiply
    489.26x = 674.94 × 302.68
  4. Step 4: Simplify right side
    489.26x = 204,287.46
  5. Step 5: Solve for x
    x = 204,287.46/489.26
  6. Step 6: Final answer
    x = 417.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.