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Finding the Fourth Proportional to 143, 196.98 and 110.24

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Solution

The fourth proportional to 143, 196.98 and 110.24 is: 151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143 : 196.98 = 110.24 : x
  2. Step 2: Convert to fraction form
    143/196.98 = 110.24/x
  3. Step 3: Cross multiply
    143x = 196.98 × 110.24
  4. Step 4: Simplify right side
    143x = 21,715.08
  5. Step 5: Solve for x
    x = 21,715.08/143
  6. Step 6: Final answer
    x = 151.85

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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.