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Finding the Fourth Proportional to 143.64, 198.32 and 99.96

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Solution

The fourth proportional to 143.64, 198.32 and 99.96 is: 138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.64 : 198.32 = 99.96 : x
  2. Step 2: Convert to fraction form
    143.64/198.32 = 99.96/x
  3. Step 3: Cross multiply
    143.64x = 198.32 × 99.96
  4. Step 4: Simplify right side
    143.64x = 19,824.07
  5. Step 5: Solve for x
    x = 19,824.07/143.64
  6. Step 6: Final answer
    x = 138.01

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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.