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Finding the Fourth Proportional to 489.43, 733.96 and 164.72

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Solution

The fourth proportional to 489.43, 733.96 and 164.72 is: 247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.43 : 733.96 = 164.72 : x
  2. Step 2: Convert to fraction form
    489.43/733.96 = 164.72/x
  3. Step 3: Cross multiply
    489.43x = 733.96 × 164.72
  4. Step 4: Simplify right side
    489.43x = 120,897.89
  5. Step 5: Solve for x
    x = 120,897.89/489.43
  6. Step 6: Final answer
    x = 247.02

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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.