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Finding the Fourth Proportional to 116.28, 175.41 and 109.53

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Solution

The fourth proportional to 116.28, 175.41 and 109.53 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.28 : 175.41 = 109.53 : x
  2. Step 2: Convert to fraction form
    116.28/175.41 = 109.53/x
  3. Step 3: Cross multiply
    116.28x = 175.41 × 109.53
  4. Step 4: Simplify right side
    116.28x = 19,212.66
  5. Step 5: Solve for x
    x = 19,212.66/116.28
  6. Step 6: Final answer
    x = 165.23

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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.