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Finding the Fourth Proportional to 21.68, 29.93 and 16.21

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Solution

The fourth proportional to 21.68, 29.93 and 16.21 is: 22.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.68 : 29.93 = 16.21 : x
  2. Step 2: Convert to fraction form
    21.68/29.93 = 16.21/x
  3. Step 3: Cross multiply
    21.68x = 29.93 × 16.21
  4. Step 4: Simplify right side
    21.68x = 485.17
  5. Step 5: Solve for x
    x = 485.17/21.68
  6. Step 6: Final answer
    x = 22.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.