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Finding the Fourth Proportional to 22.45, 30.80 and 21.64

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Solution

The fourth proportional to 22.45, 30.80 and 21.64 is: 29.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.45 : 30.80 = 21.64 : x
  2. Step 2: Convert to fraction form
    22.45/30.80 = 21.64/x
  3. Step 3: Cross multiply
    22.45x = 30.80 × 21.64
  4. Step 4: Simplify right side
    22.45x = 666.51
  5. Step 5: Solve for x
    x = 666.51/22.45
  6. Step 6: Final answer
    x = 29.69

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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.