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Finding the Fourth Proportional to 22.98, 31.92 and 22.78

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Solution

The fourth proportional to 22.98, 31.92 and 22.78 is: 31.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.98 : 31.92 = 22.78 : x
  2. Step 2: Convert to fraction form
    22.98/31.92 = 22.78/x
  3. Step 3: Cross multiply
    22.98x = 31.92 × 22.78
  4. Step 4: Simplify right side
    22.98x = 727.14
  5. Step 5: Solve for x
    x = 727.14/22.98
  6. Step 6: Final answer
    x = 31.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.