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Finding the Fourth Proportional to 489.10, 733.78 and 215.14

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Solution

The fourth proportional to 489.10, 733.78 and 215.14 is: 322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.10 : 733.78 = 215.14 : x
  2. Step 2: Convert to fraction form
    489.10/733.78 = 215.14/x
  3. Step 3: Cross multiply
    489.10x = 733.78 × 215.14
  4. Step 4: Simplify right side
    489.10x = 157,865.43
  5. Step 5: Solve for x
    x = 157,865.43/489.10
  6. Step 6: Final answer
    x = 322.77

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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.