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Finding the Fourth Proportional to 191.16, 262.86 and 185.40

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Solution

The fourth proportional to 191.16, 262.86 and 185.40 is: 254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.16 : 262.86 = 185.40 : x
  2. Step 2: Convert to fraction form
    191.16/262.86 = 185.40/x
  3. Step 3: Cross multiply
    191.16x = 262.86 × 185.40
  4. Step 4: Simplify right side
    191.16x = 48,734.24
  5. Step 5: Solve for x
    x = 48,734.24/191.16
  6. Step 6: Final answer
    x = 254.94

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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.