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Finding the Fourth Proportional to 611.46, 916.89 and 245.96

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Solution

The fourth proportional to 611.46, 916.89 and 245.96 is: 368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.46 : 916.89 = 245.96 : x
  2. Step 2: Convert to fraction form
    611.46/916.89 = 245.96/x
  3. Step 3: Cross multiply
    611.46x = 916.89 × 245.96
  4. Step 4: Simplify right side
    611.46x = 225,513.68
  5. Step 5: Solve for x
    x = 225,513.68/611.46
  6. Step 6: Final answer
    x = 368.81

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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.