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Finding the Fourth Proportional to 22.56, 34.05 and 22.56

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Solution

The fourth proportional to 22.56, 34.05 and 22.56 is: 34.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.56 : 34.05 = 22.56 : x
  2. Step 2: Convert to fraction form
    22.56/34.05 = 22.56/x
  3. Step 3: Cross multiply
    22.56x = 34.05 × 22.56
  4. Step 4: Simplify right side
    22.56x = 768.17
  5. Step 5: Solve for x
    x = 768.17/22.56
  6. Step 6: Final answer
    x = 34.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.