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Finding the Fourth Proportional to 145.28, 216.41 and 138.73

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Solution

The fourth proportional to 145.28, 216.41 and 138.73 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.28 : 216.41 = 138.73 : x
  2. Step 2: Convert to fraction form
    145.28/216.41 = 138.73/x
  3. Step 3: Cross multiply
    145.28x = 216.41 × 138.73
  4. Step 4: Simplify right side
    145.28x = 30,022.56
  5. Step 5: Solve for x
    x = 30,022.56/145.28
  6. Step 6: Final answer
    x = 206.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.