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Finding the Fourth Proportional to 44.56, 66.75 and 21.74

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Solution

The fourth proportional to 44.56, 66.75 and 21.74 is: 32.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.56 : 66.75 = 21.74 : x
  2. Step 2: Convert to fraction form
    44.56/66.75 = 21.74/x
  3. Step 3: Cross multiply
    44.56x = 66.75 × 21.74
  4. Step 4: Simplify right side
    44.56x = 1,450.93
  5. Step 5: Solve for x
    x = 1,450.93/44.56
  6. Step 6: Final answer
    x = 32.56

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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.