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Finding the Fourth Proportional to 610.81, 916.37 and 199.95

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Solution

The fourth proportional to 610.81, 916.37 and 199.95 is: 299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.81 : 916.37 = 199.95 : x
  2. Step 2: Convert to fraction form
    610.81/916.37 = 199.95/x
  3. Step 3: Cross multiply
    610.81x = 916.37 × 199.95
  4. Step 4: Simplify right side
    610.81x = 183,227.18
  5. Step 5: Solve for x
    x = 183,227.18/610.81
  6. Step 6: Final answer
    x = 299.97

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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.