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Finding the Fourth Proportional to 27.50, 36.80 and 27.50

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Solution

The fourth proportional to 27.50, 36.80 and 27.50 is: 36.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.50 : 36.80 = 27.50 : x
  2. Step 2: Convert to fraction form
    27.50/36.80 = 27.50/x
  3. Step 3: Cross multiply
    27.50x = 36.80 × 27.50
  4. Step 4: Simplify right side
    27.50x = 1,012.00
  5. Step 5: Solve for x
    x = 1,012.00/27.50
  6. Step 6: Final answer
    x = 36.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.