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Finding the Fourth Proportional to 50.98, 69.91 and 47.33

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Solution

The fourth proportional to 50.98, 69.91 and 47.33 is: 64.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.98 : 69.91 = 47.33 : x
  2. Step 2: Convert to fraction form
    50.98/69.91 = 47.33/x
  3. Step 3: Cross multiply
    50.98x = 69.91 × 47.33
  4. Step 4: Simplify right side
    50.98x = 3,309.29
  5. Step 5: Solve for x
    x = 3,309.29/50.98
  6. Step 6: Final answer
    x = 64.91

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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.