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Finding the Fourth Proportional to 489.39, 733.90 and 181.17

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Solution

The fourth proportional to 489.39, 733.90 and 181.17 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.39 : 733.90 = 181.17 : x
  2. Step 2: Convert to fraction form
    489.39/733.90 = 181.17/x
  3. Step 3: Cross multiply
    489.39x = 733.90 × 181.17
  4. Step 4: Simplify right side
    489.39x = 132,960.66
  5. Step 5: Solve for x
    x = 132,960.66/489.39
  6. Step 6: Final answer
    x = 271.69

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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.