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Finding the Fourth Proportional to 489.25, 733.68 and 181.06

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Solution

The fourth proportional to 489.25, 733.68 and 181.06 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.25 : 733.68 = 181.06 : x
  2. Step 2: Convert to fraction form
    489.25/733.68 = 181.06/x
  3. Step 3: Cross multiply
    489.25x = 733.68 × 181.06
  4. Step 4: Simplify right side
    489.25x = 132,840.10
  5. Step 5: Solve for x
    x = 132,840.10/489.25
  6. Step 6: Final answer
    x = 271.52

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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.