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Finding the Fourth Proportional to 483.54, 725.31 and 136.91

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Solution

The fourth proportional to 483.54, 725.31 and 136.91 is: 205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.54 : 725.31 = 136.91 : x
  2. Step 2: Convert to fraction form
    483.54/725.31 = 136.91/x
  3. Step 3: Cross multiply
    483.54x = 725.31 × 136.91
  4. Step 4: Simplify right side
    483.54x = 99,300.77
  5. Step 5: Solve for x
    x = 99,300.77/483.54
  6. Step 6: Final answer
    x = 205.36

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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.