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Finding the Fourth Proportional to 116.40, 174.32 and 107.74

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Solution

The fourth proportional to 116.40, 174.32 and 107.74 is: 161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 174.32 = 107.74 : x
  2. Step 2: Convert to fraction form
    116.40/174.32 = 107.74/x
  3. Step 3: Cross multiply
    116.40x = 174.32 × 107.74
  4. Step 4: Simplify right side
    116.40x = 18,781.24
  5. Step 5: Solve for x
    x = 18,781.24/116.40
  6. Step 6: Final answer
    x = 161.35

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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.