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Finding the Fourth Proportional to 611.83, 917.61 and 200.83

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Solution

The fourth proportional to 611.83, 917.61 and 200.83 is: 301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.83 : 917.61 = 200.83 : x
  2. Step 2: Convert to fraction form
    611.83/917.61 = 200.83/x
  3. Step 3: Cross multiply
    611.83x = 917.61 × 200.83
  4. Step 4: Simplify right side
    611.83x = 184,283.62
  5. Step 5: Solve for x
    x = 184,283.62/611.83
  6. Step 6: Final answer
    x = 301.20

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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.