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Finding the Fourth Proportional to 146.94, 203.07 and 103.50

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Solution

The fourth proportional to 146.94, 203.07 and 103.50 is: 143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 203.07 = 103.50 : x
  2. Step 2: Convert to fraction form
    146.94/203.07 = 103.50/x
  3. Step 3: Cross multiply
    146.94x = 203.07 × 103.50
  4. Step 4: Simplify right side
    146.94x = 21,017.75
  5. Step 5: Solve for x
    x = 21,017.75/146.94
  6. Step 6: Final answer
    x = 143.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.