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Finding the Fourth Proportional to 381.26, 525.42 and 298.23

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Solution

The fourth proportional to 381.26, 525.42 and 298.23 is: 411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 525.42 = 298.23 : x
  2. Step 2: Convert to fraction form
    381.26/525.42 = 298.23/x
  3. Step 3: Cross multiply
    381.26x = 525.42 × 298.23
  4. Step 4: Simplify right side
    381.26x = 156,696.01
  5. Step 5: Solve for x
    x = 156,696.01/381.26
  6. Step 6: Final answer
    x = 411.00

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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.