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Finding the Fourth Proportional to 29.84, 40.91 and 28.42

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Solution

The fourth proportional to 29.84, 40.91 and 28.42 is: 38.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.84 : 40.91 = 28.42 : x
  2. Step 2: Convert to fraction form
    29.84/40.91 = 28.42/x
  3. Step 3: Cross multiply
    29.84x = 40.91 × 28.42
  4. Step 4: Simplify right side
    29.84x = 1,162.42
  5. Step 5: Solve for x
    x = 1,162.42/29.84
  6. Step 6: Final answer
    x = 38.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.