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Finding the Fourth Proportional to 143, 197.16 and 113.84

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Solution

The fourth proportional to 143, 197.16 and 113.84 is: 156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143 : 197.16 = 113.84 : x
  2. Step 2: Convert to fraction form
    143/197.16 = 113.84/x
  3. Step 3: Cross multiply
    143x = 197.16 × 113.84
  4. Step 4: Simplify right side
    143x = 22,444.69
  5. Step 5: Solve for x
    x = 22,444.69/143
  6. Step 6: Final answer
    x = 156.96

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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.