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Finding the Fourth Proportional to 29.75, 41.02 and 21.33

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Solution

The fourth proportional to 29.75, 41.02 and 21.33 is: 29.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 41.02 = 21.33 : x
  2. Step 2: Convert to fraction form
    29.75/41.02 = 21.33/x
  3. Step 3: Cross multiply
    29.75x = 41.02 × 21.33
  4. Step 4: Simplify right side
    29.75x = 874.75
  5. Step 5: Solve for x
    x = 874.75/29.75
  6. Step 6: Final answer
    x = 29.40

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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.