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Finding the Fourth Proportional to 254.06, 379.70 and 185.12

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Solution

The fourth proportional to 254.06, 379.70 and 185.12 is: 276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.06 : 379.70 = 185.12 : x
  2. Step 2: Convert to fraction form
    254.06/379.70 = 185.12/x
  3. Step 3: Cross multiply
    254.06x = 379.70 × 185.12
  4. Step 4: Simplify right side
    254.06x = 70,290.06
  5. Step 5: Solve for x
    x = 70,290.06/254.06
  6. Step 6: Final answer
    x = 276.67

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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.