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Finding the Fourth Proportional to 29.10, 39.75 and 28.44

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Solution

The fourth proportional to 29.10, 39.75 and 28.44 is: 38.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.10 : 39.75 = 28.44 : x
  2. Step 2: Convert to fraction form
    29.10/39.75 = 28.44/x
  3. Step 3: Cross multiply
    29.10x = 39.75 × 28.44
  4. Step 4: Simplify right side
    29.10x = 1,130.49
  5. Step 5: Solve for x
    x = 1,130.49/29.10
  6. Step 6: Final answer
    x = 38.85

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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.