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Finding the Fourth Proportional to 16.31, 22.61 and 16.05

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Solution

The fourth proportional to 16.31, 22.61 and 16.05 is: 22.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 22.61 = 16.05 : x
  2. Step 2: Convert to fraction form
    16.31/22.61 = 16.05/x
  3. Step 3: Cross multiply
    16.31x = 22.61 × 16.05
  4. Step 4: Simplify right side
    16.31x = 362.81
  5. Step 5: Solve for x
    x = 362.81/16.31
  6. Step 6: Final answer
    x = 22.24

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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.