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Finding the Fourth Proportional to 2.03, 2.78 and 1.80

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Solution

The fourth proportional to 2.03, 2.78 and 1.80 is: 2.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.03 : 2.78 = 1.80 : x
  2. Step 2: Convert to fraction form
    2.03/2.78 = 1.80/x
  3. Step 3: Cross multiply
    2.03x = 2.78 × 1.80
  4. Step 4: Simplify right side
    2.03x = 5.00
  5. Step 5: Solve for x
    x = 5.00/2.03
  6. Step 6: Final answer
    x = 2.47

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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.