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Finding the Fourth Proportional to 2.15, 3.22 and 1.47

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Solution

The fourth proportional to 2.15, 3.22 and 1.47 is: 2.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.15 : 3.22 = 1.47 : x
  2. Step 2: Convert to fraction form
    2.15/3.22 = 1.47/x
  3. Step 3: Cross multiply
    2.15x = 3.22 × 1.47
  4. Step 4: Simplify right side
    2.15x = 4.74
  5. Step 5: Solve for x
    x = 4.74/2.15
  6. Step 6: Final answer
    x = 2.21

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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.