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Finding the Fourth Proportional to 2.40, 3.60 and 2.11

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Solution

The fourth proportional to 2.40, 3.60 and 2.11 is: 3.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.40 : 3.60 = 2.11 : x
  2. Step 2: Convert to fraction form
    2.40/3.60 = 2.11/x
  3. Step 3: Cross multiply
    2.40x = 3.60 × 2.11
  4. Step 4: Simplify right side
    2.40x = 7.60
  5. Step 5: Solve for x
    x = 7.60/2.40
  6. Step 6: Final answer
    x = 3.17

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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.