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Finding the Fourth Proportional to 205.70, 307.14 and 182.61

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Solution

The fourth proportional to 205.70, 307.14 and 182.61 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 307.14 = 182.61 : x
  2. Step 2: Convert to fraction form
    205.70/307.14 = 182.61/x
  3. Step 3: Cross multiply
    205.70x = 307.14 × 182.61
  4. Step 4: Simplify right side
    205.70x = 56,086.84
  5. Step 5: Solve for x
    x = 56,086.84/205.70
  6. Step 6: Final answer
    x = 272.67

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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.