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Finding the Fourth Proportional to 22.49, 33.53 and 21.63

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Solution

The fourth proportional to 22.49, 33.53 and 21.63 is: 32.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.49 : 33.53 = 21.63 : x
  2. Step 2: Convert to fraction form
    22.49/33.53 = 21.63/x
  3. Step 3: Cross multiply
    22.49x = 33.53 × 21.63
  4. Step 4: Simplify right side
    22.49x = 725.15
  5. Step 5: Solve for x
    x = 725.15/22.49
  6. Step 6: Final answer
    x = 32.25

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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.