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Finding the Fourth Proportional to 191.36, 288.64 and 185.60

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Solution

The fourth proportional to 191.36, 288.64 and 185.60 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.36 : 288.64 = 185.60 : x
  2. Step 2: Convert to fraction form
    191.36/288.64 = 185.60/x
  3. Step 3: Cross multiply
    191.36x = 288.64 × 185.60
  4. Step 4: Simplify right side
    191.36x = 53,571.58
  5. Step 5: Solve for x
    x = 53,571.58/191.36
  6. Step 6: Final answer
    x = 279.95

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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.