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Finding the Fourth Proportional to 22.51, 33.63 and 16.76

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Solution

The fourth proportional to 22.51, 33.63 and 16.76 is: 25.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.51 : 33.63 = 16.76 : x
  2. Step 2: Convert to fraction form
    22.51/33.63 = 16.76/x
  3. Step 3: Cross multiply
    22.51x = 33.63 × 16.76
  4. Step 4: Simplify right side
    22.51x = 563.64
  5. Step 5: Solve for x
    x = 563.64/22.51
  6. Step 6: Final answer
    x = 25.04

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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.