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Finding the Fourth Proportional to 119.30, 165.27 and 116.46

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Solution

The fourth proportional to 119.30, 165.27 and 116.46 is: 161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.30 : 165.27 = 116.46 : x
  2. Step 2: Convert to fraction form
    119.30/165.27 = 116.46/x
  3. Step 3: Cross multiply
    119.30x = 165.27 × 116.46
  4. Step 4: Simplify right side
    119.30x = 19,247.34
  5. Step 5: Solve for x
    x = 19,247.34/119.30
  6. Step 6: Final answer
    x = 161.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.