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Finding the Fourth Proportional to 54.22, 74.79 and 34.53

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Solution

The fourth proportional to 54.22, 74.79 and 34.53 is: 47.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.22 : 74.79 = 34.53 : x
  2. Step 2: Convert to fraction form
    54.22/74.79 = 34.53/x
  3. Step 3: Cross multiply
    54.22x = 74.79 × 34.53
  4. Step 4: Simplify right side
    54.22x = 2,582.65
  5. Step 5: Solve for x
    x = 2,582.65/54.22
  6. Step 6: Final answer
    x = 47.63

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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.