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Finding the Fourth Proportional to 25.98, 39.00 and 20.34

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Solution

The fourth proportional to 25.98, 39.00 and 20.34 is: 30.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.98 : 39.00 = 20.34 : x
  2. Step 2: Convert to fraction form
    25.98/39.00 = 20.34/x
  3. Step 3: Cross multiply
    25.98x = 39.00 × 20.34
  4. Step 4: Simplify right side
    25.98x = 793.34
  5. Step 5: Solve for x
    x = 793.34/25.98
  6. Step 6: Final answer
    x = 30.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.