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Finding the Fourth Proportional to 51.06, 70.94 and 50.53

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Solution

The fourth proportional to 51.06, 70.94 and 50.53 is: 70.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.06 : 70.94 = 50.53 : x
  2. Step 2: Convert to fraction form
    51.06/70.94 = 50.53/x
  3. Step 3: Cross multiply
    51.06x = 70.94 × 50.53
  4. Step 4: Simplify right side
    51.06x = 3,584.60
  5. Step 5: Solve for x
    x = 3,584.60/51.06
  6. Step 6: Final answer
    x = 70.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.