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Finding the Fourth Proportional to 1.73, 2.37 and 1.66

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Solution

The fourth proportional to 1.73, 2.37 and 1.66 is: 2.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.73 : 2.37 = 1.66 : x
  2. Step 2: Convert to fraction form
    1.73/2.37 = 1.66/x
  3. Step 3: Cross multiply
    1.73x = 2.37 × 1.66
  4. Step 4: Simplify right side
    1.73x = 3.93
  5. Step 5: Solve for x
    x = 3.93/1.73
  6. Step 6: Final answer
    x = 2.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.