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Finding the Fourth Proportional to 33.31, 46.00 and 21.06

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Solution

The fourth proportional to 33.31, 46.00 and 21.06 is: 29.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.31 : 46.00 = 21.06 : x
  2. Step 2: Convert to fraction form
    33.31/46.00 = 21.06/x
  3. Step 3: Cross multiply
    33.31x = 46.00 × 21.06
  4. Step 4: Simplify right side
    33.31x = 968.79
  5. Step 5: Solve for x
    x = 968.79/33.31
  6. Step 6: Final answer
    x = 29.08

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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.