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Finding the Fourth Proportional to 25.21, 34.70 and 21.11

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Solution

The fourth proportional to 25.21, 34.70 and 21.11 is: 29.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.21 : 34.70 = 21.11 : x
  2. Step 2: Convert to fraction form
    25.21/34.70 = 21.11/x
  3. Step 3: Cross multiply
    25.21x = 34.70 × 21.11
  4. Step 4: Simplify right side
    25.21x = 732.34
  5. Step 5: Solve for x
    x = 732.34/25.21
  6. Step 6: Final answer
    x = 29.06

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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.