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Finding the Fourth Proportional to 22.58, 31.31 and 21.86

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Solution

The fourth proportional to 22.58, 31.31 and 21.86 is: 30.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.58 : 31.31 = 21.86 : x
  2. Step 2: Convert to fraction form
    22.58/31.31 = 21.86/x
  3. Step 3: Cross multiply
    22.58x = 31.31 × 21.86
  4. Step 4: Simplify right side
    22.58x = 684.17
  5. Step 5: Solve for x
    x = 684.17/22.58
  6. Step 6: Final answer
    x = 30.31

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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.