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Finding the Fourth Proportional to 27.40, 38 and 26.86

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Solution

The fourth proportional to 27.40, 38 and 26.86 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.40 : 38 = 26.86 : x
  2. Step 2: Convert to fraction form
    27.40/38 = 26.86/x
  3. Step 3: Cross multiply
    27.40x = 38 × 26.86
  4. Step 4: Simplify right side
    27.40x = 1,020.68
  5. Step 5: Solve for x
    x = 1,020.68/27.40
  6. Step 6: Final answer
    x = 37.25

Related Problems

Find fourth proportional to 13.70, 19 and 13.43
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.