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Finding the Fourth Proportional to 25.51, 38.09 and 21.01

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Solution

The fourth proportional to 25.51, 38.09 and 21.01 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.51 : 38.09 = 21.01 : x
  2. Step 2: Convert to fraction form
    25.51/38.09 = 21.01/x
  3. Step 3: Cross multiply
    25.51x = 38.09 × 21.01
  4. Step 4: Simplify right side
    25.51x = 800.27
  5. Step 5: Solve for x
    x = 800.27/25.51
  6. Step 6: Final answer
    x = 31.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.