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Finding the Fourth Proportional to 28.06, 41.75 and 26.50

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Solution

The fourth proportional to 28.06, 41.75 and 26.50 is: 39.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.06 : 41.75 = 26.50 : x
  2. Step 2: Convert to fraction form
    28.06/41.75 = 26.50/x
  3. Step 3: Cross multiply
    28.06x = 41.75 × 26.50
  4. Step 4: Simplify right side
    28.06x = 1,106.38
  5. Step 5: Solve for x
    x = 1,106.38/28.06
  6. Step 6: Final answer
    x = 39.43

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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.