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Finding the Fourth Proportional to 488.09, 731.42 and 244.28

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Solution

The fourth proportional to 488.09, 731.42 and 244.28 is: 366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.09 : 731.42 = 244.28 : x
  2. Step 2: Convert to fraction form
    488.09/731.42 = 244.28/x
  3. Step 3: Cross multiply
    488.09x = 731.42 × 244.28
  4. Step 4: Simplify right side
    488.09x = 178,667.01
  5. Step 5: Solve for x
    x = 178,667.01/488.09
  6. Step 6: Final answer
    x = 366.06

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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.