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Finding the Fourth Proportional to 27.77, 41.57 and 27.08

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Solution

The fourth proportional to 27.77, 41.57 and 27.08 is: 40.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.77 : 41.57 = 27.08 : x
  2. Step 2: Convert to fraction form
    27.77/41.57 = 27.08/x
  3. Step 3: Cross multiply
    27.77x = 41.57 × 27.08
  4. Step 4: Simplify right side
    27.77x = 1,125.37
  5. Step 5: Solve for x
    x = 1,125.37/27.77
  6. Step 6: Final answer
    x = 40.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.