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Finding the Fourth Proportional to 51.41, 76.62 and 51.33

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Solution

The fourth proportional to 51.41, 76.62 and 51.33 is: 76.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.41 : 76.62 = 51.33 : x
  2. Step 2: Convert to fraction form
    51.41/76.62 = 51.33/x
  3. Step 3: Cross multiply
    51.41x = 76.62 × 51.33
  4. Step 4: Simplify right side
    51.41x = 3,932.50
  5. Step 5: Solve for x
    x = 3,932.50/51.41
  6. Step 6: Final answer
    x = 76.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.