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Finding the Fourth Proportional to 191.47, 262.66 and 186.40

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Solution

The fourth proportional to 191.47, 262.66 and 186.40 is: 255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.47 : 262.66 = 186.40 : x
  2. Step 2: Convert to fraction form
    191.47/262.66 = 186.40/x
  3. Step 3: Cross multiply
    191.47x = 262.66 × 186.40
  4. Step 4: Simplify right side
    191.47x = 48,959.82
  5. Step 5: Solve for x
    x = 48,959.82/191.47
  6. Step 6: Final answer
    x = 255.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.