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Finding the Fourth Proportional to 54.35, 81.52 and 17.78

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Solution

The fourth proportional to 54.35, 81.52 and 17.78 is: 26.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.35 : 81.52 = 17.78 : x
  2. Step 2: Convert to fraction form
    54.35/81.52 = 17.78/x
  3. Step 3: Cross multiply
    54.35x = 81.52 × 17.78
  4. Step 4: Simplify right side
    54.35x = 1,449.34
  5. Step 5: Solve for x
    x = 1,449.34/54.35
  6. Step 6: Final answer
    x = 26.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.