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Finding the Fourth Proportional to 116.56, 173.90 and 97.43

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Solution

The fourth proportional to 116.56, 173.90 and 97.43 is: 145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.56 : 173.90 = 97.43 : x
  2. Step 2: Convert to fraction form
    116.56/173.90 = 97.43/x
  3. Step 3: Cross multiply
    116.56x = 173.90 × 97.43
  4. Step 4: Simplify right side
    116.56x = 16,942.39
  5. Step 5: Solve for x
    x = 16,942.39/116.56
  6. Step 6: Final answer
    x = 145.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.