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Finding the Fourth Proportional to 393.06, 541.87 and 268.59

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Solution

The fourth proportional to 393.06, 541.87 and 268.59 is: 370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.06 : 541.87 = 268.59 : x
  2. Step 2: Convert to fraction form
    393.06/541.87 = 268.59/x
  3. Step 3: Cross multiply
    393.06x = 541.87 × 268.59
  4. Step 4: Simplify right side
    393.06x = 145,540.86
  5. Step 5: Solve for x
    x = 145,540.86/393.06
  6. Step 6: Final answer
    x = 370.28

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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.