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Finding the Fourth Proportional to 611.33, 917.01 and 200.48

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Solution

The fourth proportional to 611.33, 917.01 and 200.48 is: 300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.33 : 917.01 = 200.48 : x
  2. Step 2: Convert to fraction form
    611.33/917.01 = 200.48/x
  3. Step 3: Cross multiply
    611.33x = 917.01 × 200.48
  4. Step 4: Simplify right side
    611.33x = 183,837.58
  5. Step 5: Solve for x
    x = 183,837.58/611.33
  6. Step 6: Final answer
    x = 300.72

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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.