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Finding the Fourth Proportional to 54.62, 75.22 and 54.46

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Solution

The fourth proportional to 54.62, 75.22 and 54.46 is: 74.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.62 : 75.22 = 54.46 : x
  2. Step 2: Convert to fraction form
    54.62/75.22 = 54.46/x
  3. Step 3: Cross multiply
    54.62x = 75.22 × 54.46
  4. Step 4: Simplify right side
    54.62x = 4,096.11
  5. Step 5: Solve for x
    x = 4,096.11/54.62
  6. Step 6: Final answer
    x = 74.99

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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.