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Finding the Fourth Proportional to 610.82, 916.43 and 199.97

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Solution

The fourth proportional to 610.82, 916.43 and 199.97 is: 300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.82 : 916.43 = 199.97 : x
  2. Step 2: Convert to fraction form
    610.82/916.43 = 199.97/x
  3. Step 3: Cross multiply
    610.82x = 916.43 × 199.97
  4. Step 4: Simplify right side
    610.82x = 183,252.93
  5. Step 5: Solve for x
    x = 183,252.93/610.82
  6. Step 6: Final answer
    x = 300.01

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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.