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Finding the Fourth Proportional to 337.72, 466.20 and 205

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Solution

The fourth proportional to 337.72, 466.20 and 205 is: 282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.72 : 466.20 = 205 : x
  2. Step 2: Convert to fraction form
    337.72/466.20 = 205/x
  3. Step 3: Cross multiply
    337.72x = 466.20 × 205
  4. Step 4: Simplify right side
    337.72x = 95,571
  5. Step 5: Solve for x
    x = 95,571/337.72
  6. Step 6: Final answer
    x = 282.99

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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.