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Finding the Fourth Proportional to 489.44, 733.64 and 181.10

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Solution

The fourth proportional to 489.44, 733.64 and 181.10 is: 271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.44 : 733.64 = 181.10 : x
  2. Step 2: Convert to fraction form
    489.44/733.64 = 181.10/x
  3. Step 3: Cross multiply
    489.44x = 733.64 × 181.10
  4. Step 4: Simplify right side
    489.44x = 132,857.63
  5. Step 5: Solve for x
    x = 132,857.63/489.44
  6. Step 6: Final answer
    x = 271.45

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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.