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Finding the Fourth Proportional to 191.56, 288.75 and 180.41

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Solution

The fourth proportional to 191.56, 288.75 and 180.41 is: 271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.56 : 288.75 = 180.41 : x
  2. Step 2: Convert to fraction form
    191.56/288.75 = 180.41/x
  3. Step 3: Cross multiply
    191.56x = 288.75 × 180.41
  4. Step 4: Simplify right side
    191.56x = 52,091.04
  5. Step 5: Solve for x
    x = 52,091.04/191.56
  6. Step 6: Final answer
    x = 271.94

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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.