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Finding the Fourth Proportional to 116.37, 174.57 and 99.96

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Solution

The fourth proportional to 116.37, 174.57 and 99.96 is: 149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.37 : 174.57 = 99.96 : x
  2. Step 2: Convert to fraction form
    116.37/174.57 = 99.96/x
  3. Step 3: Cross multiply
    116.37x = 174.57 × 99.96
  4. Step 4: Simplify right side
    116.37x = 17,450.02
  5. Step 5: Solve for x
    x = 17,450.02/116.37
  6. Step 6: Final answer
    x = 149.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.