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Finding the Fourth Proportional to 28.50, 39.30 and 27.06

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Solution

The fourth proportional to 28.50, 39.30 and 27.06 is: 37.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.50 : 39.30 = 27.06 : x
  2. Step 2: Convert to fraction form
    28.50/39.30 = 27.06/x
  3. Step 3: Cross multiply
    28.50x = 39.30 × 27.06
  4. Step 4: Simplify right side
    28.50x = 1,063.46
  5. Step 5: Solve for x
    x = 1,063.46/28.50
  6. Step 6: Final answer
    x = 37.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.