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Finding the Fourth Proportional to 325.74, 449.28 and 282

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Solution

The fourth proportional to 325.74, 449.28 and 282 is: 388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.74 : 449.28 = 282 : x
  2. Step 2: Convert to fraction form
    325.74/449.28 = 282/x
  3. Step 3: Cross multiply
    325.74x = 449.28 × 282
  4. Step 4: Simplify right side
    325.74x = 126,696.96
  5. Step 5: Solve for x
    x = 126,696.96/325.74
  6. Step 6: Final answer
    x = 388.95

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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.