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Finding the Fourth Proportional to 146.04, 201.40 and 125.40

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Solution

The fourth proportional to 146.04, 201.40 and 125.40 is: 172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.04 : 201.40 = 125.40 : x
  2. Step 2: Convert to fraction form
    146.04/201.40 = 125.40/x
  3. Step 3: Cross multiply
    146.04x = 201.40 × 125.40
  4. Step 4: Simplify right side
    146.04x = 25,255.56
  5. Step 5: Solve for x
    x = 25,255.56/146.04
  6. Step 6: Final answer
    x = 172.94

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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.