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Finding the Fourth Proportional to 205.68, 308.53 and 51.61

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Solution

The fourth proportional to 205.68, 308.53 and 51.61 is: 77.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 308.53 = 51.61 : x
  2. Step 2: Convert to fraction form
    205.68/308.53 = 51.61/x
  3. Step 3: Cross multiply
    205.68x = 308.53 × 51.61
  4. Step 4: Simplify right side
    205.68x = 15,922.81
  5. Step 5: Solve for x
    x = 15,922.81/205.68
  6. Step 6: Final answer
    x = 77.41

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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.