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Finding the Fourth Proportional to 33.11, 45.64 and 22.76

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Solution

The fourth proportional to 33.11, 45.64 and 22.76 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.11 : 45.64 = 22.76 : x
  2. Step 2: Convert to fraction form
    33.11/45.64 = 22.76/x
  3. Step 3: Cross multiply
    33.11x = 45.64 × 22.76
  4. Step 4: Simplify right side
    33.11x = 1,038.55
  5. Step 5: Solve for x
    x = 1,038.55/33.11
  6. Step 6: Final answer
    x = 31.37

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Find fourth proportional to 16.55, 22.82 and 11.38
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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.