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Finding the Fourth Proportional to 191.70, 289.10 and 181.17

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Solution

The fourth proportional to 191.70, 289.10 and 181.17 is: 273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.70 : 289.10 = 181.17 : x
  2. Step 2: Convert to fraction form
    191.70/289.10 = 181.17/x
  3. Step 3: Cross multiply
    191.70x = 289.10 × 181.17
  4. Step 4: Simplify right side
    191.70x = 52,376.70
  5. Step 5: Solve for x
    x = 52,376.70/191.70
  6. Step 6: Final answer
    x = 273.22

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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.