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Finding the Fourth Proportional to 191.66, 287.40 and 83.54

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Solution

The fourth proportional to 191.66, 287.40 and 83.54 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.66 : 287.40 = 83.54 : x
  2. Step 2: Convert to fraction form
    191.66/287.40 = 83.54/x
  3. Step 3: Cross multiply
    191.66x = 287.40 × 83.54
  4. Step 4: Simplify right side
    191.66x = 24,009.40
  5. Step 5: Solve for x
    x = 24,009.40/191.66
  6. Step 6: Final answer
    x = 125.27

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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.