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Finding the Fourth Proportional to 22.76, 31.21 and 21.83

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Solution

The fourth proportional to 22.76, 31.21 and 21.83 is: 29.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.76 : 31.21 = 21.83 : x
  2. Step 2: Convert to fraction form
    22.76/31.21 = 21.83/x
  3. Step 3: Cross multiply
    22.76x = 31.21 × 21.83
  4. Step 4: Simplify right side
    22.76x = 681.29
  5. Step 5: Solve for x
    x = 681.29/22.76
  6. Step 6: Final answer
    x = 29.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.