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Finding the Fourth Proportional to 116.12, 174.88 and 105.80

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Solution

The fourth proportional to 116.12, 174.88 and 105.80 is: 159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 174.88 = 105.80 : x
  2. Step 2: Convert to fraction form
    116.12/174.88 = 105.80/x
  3. Step 3: Cross multiply
    116.12x = 174.88 × 105.80
  4. Step 4: Simplify right side
    116.12x = 18,502.30
  5. Step 5: Solve for x
    x = 18,502.30/116.12
  6. Step 6: Final answer
    x = 159.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.