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Finding the Fourth Proportional to 193.06, 266.15 and 137.71

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Solution

The fourth proportional to 193.06, 266.15 and 137.71 is: 189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.06 : 266.15 = 137.71 : x
  2. Step 2: Convert to fraction form
    193.06/266.15 = 137.71/x
  3. Step 3: Cross multiply
    193.06x = 266.15 × 137.71
  4. Step 4: Simplify right side
    193.06x = 36,649.50
  5. Step 5: Solve for x
    x = 36,649.50/193.06
  6. Step 6: Final answer
    x = 189.84

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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.