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Finding the Fourth Proportional to 412.93, 619 and 138.83

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Solution

The fourth proportional to 412.93, 619 and 138.83 is: 208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.93 : 619 = 138.83 : x
  2. Step 2: Convert to fraction form
    412.93/619 = 138.83/x
  3. Step 3: Cross multiply
    412.93x = 619 × 138.83
  4. Step 4: Simplify right side
    412.93x = 85,935.77
  5. Step 5: Solve for x
    x = 85,935.77/412.93
  6. Step 6: Final answer
    x = 208.11

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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.