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Finding the Fourth Proportional to 116.12, 174.30 and 109.52

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Solution

The fourth proportional to 116.12, 174.30 and 109.52 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 174.30 = 109.52 : x
  2. Step 2: Convert to fraction form
    116.12/174.30 = 109.52/x
  3. Step 3: Cross multiply
    116.12x = 174.30 × 109.52
  4. Step 4: Simplify right side
    116.12x = 19,089.34
  5. Step 5: Solve for x
    x = 19,089.34/116.12
  6. Step 6: Final answer
    x = 164.39

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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.