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Finding the Fourth Proportional to 146.13, 218.21 and 123.11

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Solution

The fourth proportional to 146.13, 218.21 and 123.11 is: 183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.13 : 218.21 = 123.11 : x
  2. Step 2: Convert to fraction form
    146.13/218.21 = 123.11/x
  3. Step 3: Cross multiply
    146.13x = 218.21 × 123.11
  4. Step 4: Simplify right side
    146.13x = 26,863.83
  5. Step 5: Solve for x
    x = 26,863.83/146.13
  6. Step 6: Final answer
    x = 183.84

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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.