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Finding the Fourth Proportional to 268.22, 370.26 and 185.47

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Solution

The fourth proportional to 268.22, 370.26 and 185.47 is: 256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.22 : 370.26 = 185.47 : x
  2. Step 2: Convert to fraction form
    268.22/370.26 = 185.47/x
  3. Step 3: Cross multiply
    268.22x = 370.26 × 185.47
  4. Step 4: Simplify right side
    268.22x = 68,672.12
  5. Step 5: Solve for x
    x = 68,672.12/268.22
  6. Step 6: Final answer
    x = 256.03

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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.