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Finding the Fourth Proportional to 360.06, 539.75 and 257.54

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Solution

The fourth proportional to 360.06, 539.75 and 257.54 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.06 : 539.75 = 257.54 : x
  2. Step 2: Convert to fraction form
    360.06/539.75 = 257.54/x
  3. Step 3: Cross multiply
    360.06x = 539.75 × 257.54
  4. Step 4: Simplify right side
    360.06x = 139,003.23
  5. Step 5: Solve for x
    x = 139,003.23/360.06
  6. Step 6: Final answer
    x = 386.06

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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.