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Finding the Fourth Proportional to 489.14, 733.70 and 164.50

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Solution

The fourth proportional to 489.14, 733.70 and 164.50 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 733.70 = 164.50 : x
  2. Step 2: Convert to fraction form
    489.14/733.70 = 164.50/x
  3. Step 3: Cross multiply
    489.14x = 733.70 × 164.50
  4. Step 4: Simplify right side
    489.14x = 120,693.65
  5. Step 5: Solve for x
    x = 120,693.65/489.14
  6. Step 6: Final answer
    x = 246.75

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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.