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Finding the Fourth Proportional to 611.69, 917.67 and 178.83

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Solution

The fourth proportional to 611.69, 917.67 and 178.83 is: 268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.69 : 917.67 = 178.83 : x
  2. Step 2: Convert to fraction form
    611.69/917.67 = 178.83/x
  3. Step 3: Cross multiply
    611.69x = 917.67 × 178.83
  4. Step 4: Simplify right side
    611.69x = 164,106.93
  5. Step 5: Solve for x
    x = 164,106.93/611.69
  6. Step 6: Final answer
    x = 268.29

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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.