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Finding the Fourth Proportional to 337.89, 466.34 and 205.21

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Solution

The fourth proportional to 337.89, 466.34 and 205.21 is: 283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.89 : 466.34 = 205.21 : x
  2. Step 2: Convert to fraction form
    337.89/466.34 = 205.21/x
  3. Step 3: Cross multiply
    337.89x = 466.34 × 205.21
  4. Step 4: Simplify right side
    337.89x = 95,697.63
  5. Step 5: Solve for x
    x = 95,697.63/337.89
  6. Step 6: Final answer
    x = 283.22

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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.