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Finding the Fourth Proportional to 484.02, 725.82 and 187.37

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Solution

The fourth proportional to 484.02, 725.82 and 187.37 is: 280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.02 : 725.82 = 187.37 : x
  2. Step 2: Convert to fraction form
    484.02/725.82 = 187.37/x
  3. Step 3: Cross multiply
    484.02x = 725.82 × 187.37
  4. Step 4: Simplify right side
    484.02x = 135,993.26
  5. Step 5: Solve for x
    x = 135,993.26/484.02
  6. Step 6: Final answer
    x = 280.97

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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.