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Finding the Fourth Proportional to 249.16, 373.74 and 205.78

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Solution

The fourth proportional to 249.16, 373.74 and 205.78 is: 308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.16 : 373.74 = 205.78 : x
  2. Step 2: Convert to fraction form
    249.16/373.74 = 205.78/x
  3. Step 3: Cross multiply
    249.16x = 373.74 × 205.78
  4. Step 4: Simplify right side
    249.16x = 76,908.22
  5. Step 5: Solve for x
    x = 76,908.22/249.16
  6. Step 6: Final answer
    x = 308.67

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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.