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Finding the Fourth Proportional to 54.05, 74.49 and 51.49

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Solution

The fourth proportional to 54.05, 74.49 and 51.49 is: 70.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.05 : 74.49 = 51.49 : x
  2. Step 2: Convert to fraction form
    54.05/74.49 = 51.49/x
  3. Step 3: Cross multiply
    54.05x = 74.49 × 51.49
  4. Step 4: Simplify right side
    54.05x = 3,835.41
  5. Step 5: Solve for x
    x = 3,835.41/54.05
  6. Step 6: Final answer
    x = 70.96

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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.