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Finding the Fourth Proportional to 2.51, 3.80 and 2.51

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Solution

The fourth proportional to 2.51, 3.80 and 2.51 is: 3.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 3.80 = 2.51 : x
  2. Step 2: Convert to fraction form
    2.51/3.80 = 2.51/x
  3. Step 3: Cross multiply
    2.51x = 3.80 × 2.51
  4. Step 4: Simplify right side
    2.51x = 9.53
  5. Step 5: Solve for x
    x = 9.53/2.51
  6. Step 6: Final answer
    x = 3.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.