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Finding the Fourth Proportional to 146.71, 218.57 and 139.83

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Solution

The fourth proportional to 146.71, 218.57 and 139.83 is: 208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.71 : 218.57 = 139.83 : x
  2. Step 2: Convert to fraction form
    146.71/218.57 = 139.83/x
  3. Step 3: Cross multiply
    146.71x = 218.57 × 139.83
  4. Step 4: Simplify right side
    146.71x = 30,561.94
  5. Step 5: Solve for x
    x = 30,561.94/146.71
  6. Step 6: Final answer
    x = 208.32

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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.