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Finding the Fourth Proportional to 611.50, 916.92 and 246.20

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Solution

The fourth proportional to 611.50, 916.92 and 246.20 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.50 : 916.92 = 246.20 : x
  2. Step 2: Convert to fraction form
    611.50/916.92 = 246.20/x
  3. Step 3: Cross multiply
    611.50x = 916.92 × 246.20
  4. Step 4: Simplify right side
    611.50x = 225,745.70
  5. Step 5: Solve for x
    x = 225,745.70/611.50
  6. Step 6: Final answer
    x = 369.17

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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.