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Finding the Fourth Proportional to 146.32, 202.02 and 133.88

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Solution

The fourth proportional to 146.32, 202.02 and 133.88 is: 184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.32 : 202.02 = 133.88 : x
  2. Step 2: Convert to fraction form
    146.32/202.02 = 133.88/x
  3. Step 3: Cross multiply
    146.32x = 202.02 × 133.88
  4. Step 4: Simplify right side
    146.32x = 27,046.44
  5. Step 5: Solve for x
    x = 27,046.44/146.32
  6. Step 6: Final answer
    x = 184.84

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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.