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Finding the Fourth Proportional to 437.01, 655.26 and 205.96

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Solution

The fourth proportional to 437.01, 655.26 and 205.96 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.01 : 655.26 = 205.96 : x
  2. Step 2: Convert to fraction form
    437.01/655.26 = 205.96/x
  3. Step 3: Cross multiply
    437.01x = 655.26 × 205.96
  4. Step 4: Simplify right side
    437.01x = 134,957.35
  5. Step 5: Solve for x
    x = 134,957.35/437.01
  6. Step 6: Final answer
    x = 308.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.