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Finding the Fourth Proportional to 194.69, 266.73 and 187.40

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Solution

The fourth proportional to 194.69, 266.73 and 187.40 is: 256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 266.73 = 187.40 : x
  2. Step 2: Convert to fraction form
    194.69/266.73 = 187.40/x
  3. Step 3: Cross multiply
    194.69x = 266.73 × 187.40
  4. Step 4: Simplify right side
    194.69x = 49,984.27
  5. Step 5: Solve for x
    x = 49,984.27/194.69
  6. Step 6: Final answer
    x = 256.74

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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.