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Finding the Fourth Proportional to 27.69, 38.18 and 22.77

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Solution

The fourth proportional to 27.69, 38.18 and 22.77 is: 31.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.69 : 38.18 = 22.77 : x
  2. Step 2: Convert to fraction form
    27.69/38.18 = 22.77/x
  3. Step 3: Cross multiply
    27.69x = 38.18 × 22.77
  4. Step 4: Simplify right side
    27.69x = 869.36
  5. Step 5: Solve for x
    x = 869.36/27.69
  6. Step 6: Final answer
    x = 31.40

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Find fourth proportional to 13.85, 19.09 and 11.39
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1.5x scale

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.