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Finding the Fourth Proportional to 146.95, 221.40 and 123.05

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Solution

The fourth proportional to 146.95, 221.40 and 123.05 is: 185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.95 : 221.40 = 123.05 : x
  2. Step 2: Convert to fraction form
    146.95/221.40 = 123.05/x
  3. Step 3: Cross multiply
    146.95x = 221.40 × 123.05
  4. Step 4: Simplify right side
    146.95x = 27,243.82
  5. Step 5: Solve for x
    x = 27,243.82/146.95
  6. Step 6: Final answer
    x = 185.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.