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Finding the Fourth Proportional to 54.83, 81.88 and 49.34

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Solution

The fourth proportional to 54.83, 81.88 and 49.34 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 81.88 = 49.34 : x
  2. Step 2: Convert to fraction form
    54.83/81.88 = 49.34/x
  3. Step 3: Cross multiply
    54.83x = 81.88 × 49.34
  4. Step 4: Simplify right side
    54.83x = 4,039.96
  5. Step 5: Solve for x
    x = 4,039.96/54.83
  6. Step 6: Final answer
    x = 73.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.