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Finding the Fourth Proportional to 145.73, 218.57 and 137.27

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Solution

The fourth proportional to 145.73, 218.57 and 137.27 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.73 : 218.57 = 137.27 : x
  2. Step 2: Convert to fraction form
    145.73/218.57 = 137.27/x
  3. Step 3: Cross multiply
    145.73x = 218.57 × 137.27
  4. Step 4: Simplify right side
    145.73x = 30,003.10
  5. Step 5: Solve for x
    x = 30,003.10/145.73
  6. Step 6: Final answer
    x = 205.88

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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.