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Finding the Fourth Proportional to 191.26, 288.07 and 174.61

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Solution

The fourth proportional to 191.26, 288.07 and 174.61 is: 262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.26 : 288.07 = 174.61 : x
  2. Step 2: Convert to fraction form
    191.26/288.07 = 174.61/x
  3. Step 3: Cross multiply
    191.26x = 288.07 × 174.61
  4. Step 4: Simplify right side
    191.26x = 50,299.90
  5. Step 5: Solve for x
    x = 50,299.90/191.26
  6. Step 6: Final answer
    x = 262.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.