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Finding the Fourth Proportional to 158.24, 218.39 and 120.83

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Solution

The fourth proportional to 158.24, 218.39 and 120.83 is: 166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 218.39 = 120.83 : x
  2. Step 2: Convert to fraction form
    158.24/218.39 = 120.83/x
  3. Step 3: Cross multiply
    158.24x = 218.39 × 120.83
  4. Step 4: Simplify right side
    158.24x = 26,386.37
  5. Step 5: Solve for x
    x = 26,386.37/158.24
  6. Step 6: Final answer
    x = 166.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.