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Finding the Fourth Proportional to 257.03, 382.63 and 255.51

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Solution

The fourth proportional to 257.03, 382.63 and 255.51 is: 380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.03 : 382.63 = 255.51 : x
  2. Step 2: Convert to fraction form
    257.03/382.63 = 255.51/x
  3. Step 3: Cross multiply
    257.03x = 382.63 × 255.51
  4. Step 4: Simplify right side
    257.03x = 97,764.68
  5. Step 5: Solve for x
    x = 97,764.68/257.03
  6. Step 6: Final answer
    x = 380.37

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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.