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Finding the Fourth Proportional to 189.40, 282.59 and 171.46

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Solution

The fourth proportional to 189.40, 282.59 and 171.46 is: 255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 282.59 = 171.46 : x
  2. Step 2: Convert to fraction form
    189.40/282.59 = 171.46/x
  3. Step 3: Cross multiply
    189.40x = 282.59 × 171.46
  4. Step 4: Simplify right side
    189.40x = 48,452.88
  5. Step 5: Solve for x
    x = 48,452.88/189.40
  6. Step 6: Final answer
    x = 255.82

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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.