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Finding the Fourth Proportional to 191.51, 287.42 and 83.38

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Solution

The fourth proportional to 191.51, 287.42 and 83.38 is: 125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.51 : 287.42 = 83.38 : x
  2. Step 2: Convert to fraction form
    191.51/287.42 = 83.38/x
  3. Step 3: Cross multiply
    191.51x = 287.42 × 83.38
  4. Step 4: Simplify right side
    191.51x = 23,965.08
  5. Step 5: Solve for x
    x = 23,965.08/191.51
  6. Step 6: Final answer
    x = 125.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.