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Finding the Fourth Proportional to 119.16, 165.77 and 116.94

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Solution

The fourth proportional to 119.16, 165.77 and 116.94 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.16 : 165.77 = 116.94 : x
  2. Step 2: Convert to fraction form
    119.16/165.77 = 116.94/x
  3. Step 3: Cross multiply
    119.16x = 165.77 × 116.94
  4. Step 4: Simplify right side
    119.16x = 19,384.56
  5. Step 5: Solve for x
    x = 19,384.56/119.16
  6. Step 6: Final answer
    x = 162.68

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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.