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Finding the Fourth Proportional to 29.75, 44.85 and 28.10

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Solution

The fourth proportional to 29.75, 44.85 and 28.10 is: 42.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 44.85 = 28.10 : x
  2. Step 2: Convert to fraction form
    29.75/44.85 = 28.10/x
  3. Step 3: Cross multiply
    29.75x = 44.85 × 28.10
  4. Step 4: Simplify right side
    29.75x = 1,260.06
  5. Step 5: Solve for x
    x = 1,260.06/29.75
  6. Step 6: Final answer
    x = 42.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.