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Finding the Fourth Proportional to 611.34, 916.96 and 200.66

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Solution

The fourth proportional to 611.34, 916.96 and 200.66 is: 300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 916.96 = 200.66 : x
  2. Step 2: Convert to fraction form
    611.34/916.96 = 200.66/x
  3. Step 3: Cross multiply
    611.34x = 916.96 × 200.66
  4. Step 4: Simplify right side
    611.34x = 183,997.19
  5. Step 5: Solve for x
    x = 183,997.19/611.34
  6. Step 6: Final answer
    x = 300.97

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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.