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Finding the Fourth Proportional to 437.75, 655.40 and 231.85

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Solution

The fourth proportional to 437.75, 655.40 and 231.85 is: 347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.75 : 655.40 = 231.85 : x
  2. Step 2: Convert to fraction form
    437.75/655.40 = 231.85/x
  3. Step 3: Cross multiply
    437.75x = 655.40 × 231.85
  4. Step 4: Simplify right side
    437.75x = 151,953.33
  5. Step 5: Solve for x
    x = 151,953.33/437.75
  6. Step 6: Final answer
    x = 347.13

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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.