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Finding the Fourth Proportional to 30.97, 46.40 and 21.82

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Solution

The fourth proportional to 30.97, 46.40 and 21.82 is: 32.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 46.40 = 21.82 : x
  2. Step 2: Convert to fraction form
    30.97/46.40 = 21.82/x
  3. Step 3: Cross multiply
    30.97x = 46.40 × 21.82
  4. Step 4: Simplify right side
    30.97x = 1,012.22
  5. Step 5: Solve for x
    x = 1,012.22/30.97
  6. Step 6: Final answer
    x = 32.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.