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Finding the Fourth Proportional to 337.31, 465.46 and 189.91

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Solution

The fourth proportional to 337.31, 465.46 and 189.91 is: 262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.31 : 465.46 = 189.91 : x
  2. Step 2: Convert to fraction form
    337.31/465.46 = 189.91/x
  3. Step 3: Cross multiply
    337.31x = 465.46 × 189.91
  4. Step 4: Simplify right side
    337.31x = 88,393.87
  5. Step 5: Solve for x
    x = 88,393.87/337.31
  6. Step 6: Final answer
    x = 262.06

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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.