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Finding the Fourth Proportional to 23.78, 35.54 and 22.90

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Solution

The fourth proportional to 23.78, 35.54 and 22.90 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.78 : 35.54 = 22.90 : x
  2. Step 2: Convert to fraction form
    23.78/35.54 = 22.90/x
  3. Step 3: Cross multiply
    23.78x = 35.54 × 22.90
  4. Step 4: Simplify right side
    23.78x = 813.87
  5. Step 5: Solve for x
    x = 813.87/23.78
  6. Step 6: Final answer
    x = 34.22

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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.