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Finding the Fourth Proportional to 119.83, 166.51 and 118.58

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Solution

The fourth proportional to 119.83, 166.51 and 118.58 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.83 : 166.51 = 118.58 : x
  2. Step 2: Convert to fraction form
    119.83/166.51 = 118.58/x
  3. Step 3: Cross multiply
    119.83x = 166.51 × 118.58
  4. Step 4: Simplify right side
    119.83x = 19,744.39
  5. Step 5: Solve for x
    x = 19,744.39/119.83
  6. Step 6: Final answer
    x = 164.77

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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.