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Finding the Fourth Proportional to 205.70, 308.54 and 75.70

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Solution

The fourth proportional to 205.70, 308.54 and 75.70 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 308.54 = 75.70 : x
  2. Step 2: Convert to fraction form
    205.70/308.54 = 75.70/x
  3. Step 3: Cross multiply
    205.70x = 308.54 × 75.70
  4. Step 4: Simplify right side
    205.70x = 23,357.05
  5. Step 5: Solve for x
    x = 23,357.05/205.70
  6. Step 6: Final answer
    x = 113.55

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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.