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Finding the Fourth Proportional to 191.31, 286.75 and 173.49

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Solution

The fourth proportional to 191.31, 286.75 and 173.49 is: 260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.31 : 286.75 = 173.49 : x
  2. Step 2: Convert to fraction form
    191.31/286.75 = 173.49/x
  3. Step 3: Cross multiply
    191.31x = 286.75 × 173.49
  4. Step 4: Simplify right side
    191.31x = 49,748.26
  5. Step 5: Solve for x
    x = 49,748.26/191.31
  6. Step 6: Final answer
    x = 260.04

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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.