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Finding the Fourth Proportional to 194.47, 266.47 and 192.68

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Solution

The fourth proportional to 194.47, 266.47 and 192.68 is: 264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 266.47 = 192.68 : x
  2. Step 2: Convert to fraction form
    194.47/266.47 = 192.68/x
  3. Step 3: Cross multiply
    194.47x = 266.47 × 192.68
  4. Step 4: Simplify right side
    194.47x = 51,342.48
  5. Step 5: Solve for x
    x = 51,342.48/194.47
  6. Step 6: Final answer
    x = 264.02

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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.