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Finding the Fourth Proportional to 119.77, 164.19 and 117.88

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Solution

The fourth proportional to 119.77, 164.19 and 117.88 is: 161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.77 : 164.19 = 117.88 : x
  2. Step 2: Convert to fraction form
    119.77/164.19 = 117.88/x
  3. Step 3: Cross multiply
    119.77x = 164.19 × 117.88
  4. Step 4: Simplify right side
    119.77x = 19,354.72
  5. Step 5: Solve for x
    x = 19,354.72/119.77
  6. Step 6: Final answer
    x = 161.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.