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Finding the Fourth Proportional to 54.23, 74.84 and 30.91

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Solution

The fourth proportional to 54.23, 74.84 and 30.91 is: 42.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.23 : 74.84 = 30.91 : x
  2. Step 2: Convert to fraction form
    54.23/74.84 = 30.91/x
  3. Step 3: Cross multiply
    54.23x = 74.84 × 30.91
  4. Step 4: Simplify right side
    54.23x = 2,313.56
  5. Step 5: Solve for x
    x = 2,313.56/54.23
  6. Step 6: Final answer
    x = 42.66

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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.