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Finding the Fourth Proportional to 27.66, 40.98 and 27.57

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Solution

The fourth proportional to 27.66, 40.98 and 27.57 is: 40.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.66 : 40.98 = 27.57 : x
  2. Step 2: Convert to fraction form
    27.66/40.98 = 27.57/x
  3. Step 3: Cross multiply
    27.66x = 40.98 × 27.57
  4. Step 4: Simplify right side
    27.66x = 1,129.82
  5. Step 5: Solve for x
    x = 1,129.82/27.66
  6. Step 6: Final answer
    x = 40.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.