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Finding the Fourth Proportional to 54.37, 74.62 and 50.26

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Solution

The fourth proportional to 54.37, 74.62 and 50.26 is: 68.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.37 : 74.62 = 50.26 : x
  2. Step 2: Convert to fraction form
    54.37/74.62 = 50.26/x
  3. Step 3: Cross multiply
    54.37x = 74.62 × 50.26
  4. Step 4: Simplify right side
    54.37x = 3,750.40
  5. Step 5: Solve for x
    x = 3,750.40/54.37
  6. Step 6: Final answer
    x = 68.98

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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.