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Finding the Fourth Proportional to 142.96, 196.92 and 99.22

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Solution

The fourth proportional to 142.96, 196.92 and 99.22 is: 136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 196.92 = 99.22 : x
  2. Step 2: Convert to fraction form
    142.96/196.92 = 99.22/x
  3. Step 3: Cross multiply
    142.96x = 196.92 × 99.22
  4. Step 4: Simplify right side
    142.96x = 19,538.40
  5. Step 5: Solve for x
    x = 19,538.40/142.96
  6. Step 6: Final answer
    x = 136.67

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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.