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Finding the Fourth Proportional to 360.09, 539.73 and 257.22

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Solution

The fourth proportional to 360.09, 539.73 and 257.22 is: 385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 539.73 = 257.22 : x
  2. Step 2: Convert to fraction form
    360.09/539.73 = 257.22/x
  3. Step 3: Cross multiply
    360.09x = 539.73 × 257.22
  4. Step 4: Simplify right side
    360.09x = 138,829.35
  5. Step 5: Solve for x
    x = 138,829.35/360.09
  6. Step 6: Final answer
    x = 385.54

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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.