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Finding the Fourth Proportional to 146.75, 201.45 and 130.34

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Solution

The fourth proportional to 146.75, 201.45 and 130.34 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.75 : 201.45 = 130.34 : x
  2. Step 2: Convert to fraction form
    146.75/201.45 = 130.34/x
  3. Step 3: Cross multiply
    146.75x = 201.45 × 130.34
  4. Step 4: Simplify right side
    146.75x = 26,257.99
  5. Step 5: Solve for x
    x = 26,257.99/146.75
  6. Step 6: Final answer
    x = 178.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.