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Finding the Fourth Proportional to 189.81, 282.34 and 174.33

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Solution

The fourth proportional to 189.81, 282.34 and 174.33 is: 259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 282.34 = 174.33 : x
  2. Step 2: Convert to fraction form
    189.81/282.34 = 174.33/x
  3. Step 3: Cross multiply
    189.81x = 282.34 × 174.33
  4. Step 4: Simplify right side
    189.81x = 49,219.90
  5. Step 5: Solve for x
    x = 49,219.90/189.81
  6. Step 6: Final answer
    x = 259.31

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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.