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Finding the Fourth Proportional to 51.74, 70.78 and 50.80

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Solution

The fourth proportional to 51.74, 70.78 and 50.80 is: 69.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 70.78 = 50.80 : x
  2. Step 2: Convert to fraction form
    51.74/70.78 = 50.80/x
  3. Step 3: Cross multiply
    51.74x = 70.78 × 50.80
  4. Step 4: Simplify right side
    51.74x = 3,595.27
  5. Step 5: Solve for x
    x = 3,595.27/51.74
  6. Step 6: Final answer
    x = 69.49

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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.