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Finding the Fourth Proportional to 146.36, 218.59 and 123.55

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Solution

The fourth proportional to 146.36, 218.59 and 123.55 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.36 : 218.59 = 123.55 : x
  2. Step 2: Convert to fraction form
    146.36/218.59 = 123.55/x
  3. Step 3: Cross multiply
    146.36x = 218.59 × 123.55
  4. Step 4: Simplify right side
    146.36x = 27,005.94
  5. Step 5: Solve for x
    x = 27,005.94/146.36
  6. Step 6: Final answer
    x = 184.51

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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.