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Finding the Fourth Proportional to 437.75, 656.90 and 255.50

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Solution

The fourth proportional to 437.75, 656.90 and 255.50 is: 383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.75 : 656.90 = 255.50 : x
  2. Step 2: Convert to fraction form
    437.75/656.90 = 255.50/x
  3. Step 3: Cross multiply
    437.75x = 656.90 × 255.50
  4. Step 4: Simplify right side
    437.75x = 167,837.95
  5. Step 5: Solve for x
    x = 167,837.95/437.75
  6. Step 6: Final answer
    x = 383.41

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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.