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Finding the Fourth Proportional to 54.95, 75.74 and 49.50

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Solution

The fourth proportional to 54.95, 75.74 and 49.50 is: 68.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.95 : 75.74 = 49.50 : x
  2. Step 2: Convert to fraction form
    54.95/75.74 = 49.50/x
  3. Step 3: Cross multiply
    54.95x = 75.74 × 49.50
  4. Step 4: Simplify right side
    54.95x = 3,748.88
  5. Step 5: Solve for x
    x = 3,748.88/54.95
  6. Step 6: Final answer
    x = 68.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.