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Finding the Fourth Proportional to 191.06, 287.99 and 178.54

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Solution

The fourth proportional to 191.06, 287.99 and 178.54 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 287.99 = 178.54 : x
  2. Step 2: Convert to fraction form
    191.06/287.99 = 178.54/x
  3. Step 3: Cross multiply
    191.06x = 287.99 × 178.54
  4. Step 4: Simplify right side
    191.06x = 51,416.79
  5. Step 5: Solve for x
    x = 51,416.79/191.06
  6. Step 6: Final answer
    x = 269.12

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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.