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Finding the Fourth Proportional to 191.75, 287.35 and 137.39

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Solution

The fourth proportional to 191.75, 287.35 and 137.39 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.75 : 287.35 = 137.39 : x
  2. Step 2: Convert to fraction form
    191.75/287.35 = 137.39/x
  3. Step 3: Cross multiply
    191.75x = 287.35 × 137.39
  4. Step 4: Simplify right side
    191.75x = 39,477.24
  5. Step 5: Solve for x
    x = 39,477.24/191.75
  6. Step 6: Final answer
    x = 205.88

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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.