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Finding the Fourth Proportional to 611.84, 917.63 and 200.87

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Solution

The fourth proportional to 611.84, 917.63 and 200.87 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.84 : 917.63 = 200.87 : x
  2. Step 2: Convert to fraction form
    611.84/917.63 = 200.87/x
  3. Step 3: Cross multiply
    611.84x = 917.63 × 200.87
  4. Step 4: Simplify right side
    611.84x = 184,322.94
  5. Step 5: Solve for x
    x = 184,322.94/611.84
  6. Step 6: Final answer
    x = 301.26

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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.