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Finding the Fourth Proportional to 191.54, 264.38 and 181.74

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Solution

The fourth proportional to 191.54, 264.38 and 181.74 is: 250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.54 : 264.38 = 181.74 : x
  2. Step 2: Convert to fraction form
    191.54/264.38 = 181.74/x
  3. Step 3: Cross multiply
    191.54x = 264.38 × 181.74
  4. Step 4: Simplify right side
    191.54x = 48,048.42
  5. Step 5: Solve for x
    x = 48,048.42/191.54
  6. Step 6: Final answer
    x = 250.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.