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Finding the Fourth Proportional to 54.30, 81.90 and 53.46

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Solution

The fourth proportional to 54.30, 81.90 and 53.46 is: 80.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.30 : 81.90 = 53.46 : x
  2. Step 2: Convert to fraction form
    54.30/81.90 = 53.46/x
  3. Step 3: Cross multiply
    54.30x = 81.90 × 53.46
  4. Step 4: Simplify right side
    54.30x = 4,378.37
  5. Step 5: Solve for x
    x = 4,378.37/54.30
  6. Step 6: Final answer
    x = 80.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.