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Finding the Fourth Proportional to 28.45, 42.50 and 28.31

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Solution

The fourth proportional to 28.45, 42.50 and 28.31 is: 42.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.45 : 42.50 = 28.31 : x
  2. Step 2: Convert to fraction form
    28.45/42.50 = 28.31/x
  3. Step 3: Cross multiply
    28.45x = 42.50 × 28.31
  4. Step 4: Simplify right side
    28.45x = 1,203.18
  5. Step 5: Solve for x
    x = 1,203.18/28.45
  6. Step 6: Final answer
    x = 42.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.