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Finding the Fourth Proportional to 191, 287.96 and 181.07

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Solution

The fourth proportional to 191, 287.96 and 181.07 is: 272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 287.96 = 181.07 : x
  2. Step 2: Convert to fraction form
    191/287.96 = 181.07/x
  3. Step 3: Cross multiply
    191x = 287.96 × 181.07
  4. Step 4: Simplify right side
    191x = 52,140.92
  5. Step 5: Solve for x
    x = 52,140.92/191
  6. Step 6: Final answer
    x = 272.99

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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.