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Finding the Fourth Proportional to 436.41, 654.80 and 180.09

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Solution

The fourth proportional to 436.41, 654.80 and 180.09 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.41 : 654.80 = 180.09 : x
  2. Step 2: Convert to fraction form
    436.41/654.80 = 180.09/x
  3. Step 3: Cross multiply
    436.41x = 654.80 × 180.09
  4. Step 4: Simplify right side
    436.41x = 117,922.03
  5. Step 5: Solve for x
    x = 117,922.03/436.41
  6. Step 6: Final answer
    x = 270.21

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Double scale
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1.5x scale

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.