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Finding the Fourth Proportional to 146.56, 201.48 and 130.86

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Solution

The fourth proportional to 146.56, 201.48 and 130.86 is: 179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.56 : 201.48 = 130.86 : x
  2. Step 2: Convert to fraction form
    146.56/201.48 = 130.86/x
  3. Step 3: Cross multiply
    146.56x = 201.48 × 130.86
  4. Step 4: Simplify right side
    146.56x = 26,365.67
  5. Step 5: Solve for x
    x = 26,365.67/146.56
  6. Step 6: Final answer
    x = 179.90

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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.