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Finding the Fourth Proportional to 337.14, 465.20 and 189.75

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Solution

The fourth proportional to 337.14, 465.20 and 189.75 is: 261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.14 : 465.20 = 189.75 : x
  2. Step 2: Convert to fraction form
    337.14/465.20 = 189.75/x
  3. Step 3: Cross multiply
    337.14x = 465.20 × 189.75
  4. Step 4: Simplify right side
    337.14x = 88,271.70
  5. Step 5: Solve for x
    x = 88,271.70/337.14
  6. Step 6: Final answer
    x = 261.83

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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.