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Finding the Fourth Proportional to 119.54, 179.55 and 116.90

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Solution

The fourth proportional to 119.54, 179.55 and 116.90 is: 175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.54 : 179.55 = 116.90 : x
  2. Step 2: Convert to fraction form
    119.54/179.55 = 116.90/x
  3. Step 3: Cross multiply
    119.54x = 179.55 × 116.90
  4. Step 4: Simplify right side
    119.54x = 20,989.40
  5. Step 5: Solve for x
    x = 20,989.40/119.54
  6. Step 6: Final answer
    x = 175.58

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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.