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Finding the Fourth Proportional to 382.51, 573.24 and 274.06

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Solution

The fourth proportional to 382.51, 573.24 and 274.06 is: 410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.51 : 573.24 = 274.06 : x
  2. Step 2: Convert to fraction form
    382.51/573.24 = 274.06/x
  3. Step 3: Cross multiply
    382.51x = 573.24 × 274.06
  4. Step 4: Simplify right side
    382.51x = 157,099.29
  5. Step 5: Solve for x
    x = 157,099.29/382.51
  6. Step 6: Final answer
    x = 410.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.