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Finding the Fourth Proportional to 436.48, 654.76 and 180

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Solution

The fourth proportional to 436.48, 654.76 and 180 is: 270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.48 : 654.76 = 180 : x
  2. Step 2: Convert to fraction form
    436.48/654.76 = 180/x
  3. Step 3: Cross multiply
    436.48x = 654.76 × 180
  4. Step 4: Simplify right side
    436.48x = 117,856.80
  5. Step 5: Solve for x
    x = 117,856.80/436.48
  6. Step 6: Final answer
    x = 270.02

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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.