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Finding the Fourth Proportional to 489.72, 736.20 and 273.72

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Solution

The fourth proportional to 489.72, 736.20 and 273.72 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.72 : 736.20 = 273.72 : x
  2. Step 2: Convert to fraction form
    489.72/736.20 = 273.72/x
  3. Step 3: Cross multiply
    489.72x = 736.20 × 273.72
  4. Step 4: Simplify right side
    489.72x = 201,512.66
  5. Step 5: Solve for x
    x = 201,512.66/489.72
  6. Step 6: Final answer
    x = 411.49

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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.