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Finding the Fourth Proportional to 33.04, 45.56 and 20.76

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Solution

The fourth proportional to 33.04, 45.56 and 20.76 is: 28.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.04 : 45.56 = 20.76 : x
  2. Step 2: Convert to fraction form
    33.04/45.56 = 20.76/x
  3. Step 3: Cross multiply
    33.04x = 45.56 × 20.76
  4. Step 4: Simplify right side
    33.04x = 945.71
  5. Step 5: Solve for x
    x = 945.71/33.04
  6. Step 6: Final answer
    x = 28.62

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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.