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Finding the Fourth Proportional to 191.10, 287.68 and 171.25

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Solution

The fourth proportional to 191.10, 287.68 and 171.25 is: 257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.10 : 287.68 = 171.25 : x
  2. Step 2: Convert to fraction form
    191.10/287.68 = 171.25/x
  3. Step 3: Cross multiply
    191.10x = 287.68 × 171.25
  4. Step 4: Simplify right side
    191.10x = 49,265.20
  5. Step 5: Solve for x
    x = 49,265.20/191.10
  6. Step 6: Final answer
    x = 257.80

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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.