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Finding the Fourth Proportional to 27.71, 38.17 and 24.98

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Solution

The fourth proportional to 27.71, 38.17 and 24.98 is: 34.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.71 : 38.17 = 24.98 : x
  2. Step 2: Convert to fraction form
    27.71/38.17 = 24.98/x
  3. Step 3: Cross multiply
    27.71x = 38.17 × 24.98
  4. Step 4: Simplify right side
    27.71x = 953.23
  5. Step 5: Solve for x
    x = 953.23/27.71
  6. Step 6: Final answer
    x = 34.41

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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.