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Finding the Fourth Proportional to 189.42, 282.99 and 120.36

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Solution

The fourth proportional to 189.42, 282.99 and 120.36 is: 179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 282.99 = 120.36 : x
  2. Step 2: Convert to fraction form
    189.42/282.99 = 120.36/x
  3. Step 3: Cross multiply
    189.42x = 282.99 × 120.36
  4. Step 4: Simplify right side
    189.42x = 34,060.68
  5. Step 5: Solve for x
    x = 34,060.68/189.42
  6. Step 6: Final answer
    x = 179.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.