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Finding the Fourth Proportional to 489.08, 733.46 and 164.40

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Solution

The fourth proportional to 489.08, 733.46 and 164.40 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.08 : 733.46 = 164.40 : x
  2. Step 2: Convert to fraction form
    489.08/733.46 = 164.40/x
  3. Step 3: Cross multiply
    489.08x = 733.46 × 164.40
  4. Step 4: Simplify right side
    489.08x = 120,580.82
  5. Step 5: Solve for x
    x = 120,580.82/489.08
  6. Step 6: Final answer
    x = 246.55

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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.