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Finding the Fourth Proportional to 116.88, 174.21 and 112.86

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Solution

The fourth proportional to 116.88, 174.21 and 112.86 is: 168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 174.21 = 112.86 : x
  2. Step 2: Convert to fraction form
    116.88/174.21 = 112.86/x
  3. Step 3: Cross multiply
    116.88x = 174.21 × 112.86
  4. Step 4: Simplify right side
    116.88x = 19,661.34
  5. Step 5: Solve for x
    x = 19,661.34/116.88
  6. Step 6: Final answer
    x = 168.22

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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.