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Finding the Fourth Proportional to 51.74, 70.98 and 50.84

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Solution

The fourth proportional to 51.74, 70.98 and 50.84 is: 69.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 70.98 = 50.84 : x
  2. Step 2: Convert to fraction form
    51.74/70.98 = 50.84/x
  3. Step 3: Cross multiply
    51.74x = 70.98 × 50.84
  4. Step 4: Simplify right side
    51.74x = 3,608.62
  5. Step 5: Solve for x
    x = 3,608.62/51.74
  6. Step 6: Final answer
    x = 69.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.