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Finding the Fourth Proportional to 146.63, 218.39 and 138.92

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Solution

The fourth proportional to 146.63, 218.39 and 138.92 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.63 : 218.39 = 138.92 : x
  2. Step 2: Convert to fraction form
    146.63/218.39 = 138.92/x
  3. Step 3: Cross multiply
    146.63x = 218.39 × 138.92
  4. Step 4: Simplify right side
    146.63x = 30,337.47
  5. Step 5: Solve for x
    x = 30,337.47/146.63
  6. Step 6: Final answer
    x = 206.91

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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.