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Finding the Fourth Proportional to 146.16, 199.98 and 143.64

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Solution

The fourth proportional to 146.16, 199.98 and 143.64 is: 196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 199.98 = 143.64 : x
  2. Step 2: Convert to fraction form
    146.16/199.98 = 143.64/x
  3. Step 3: Cross multiply
    146.16x = 199.98 × 143.64
  4. Step 4: Simplify right side
    146.16x = 28,725.13
  5. Step 5: Solve for x
    x = 28,725.13/146.16
  6. Step 6: Final answer
    x = 196.53

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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.