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Finding the Fourth Proportional to 193.45, 266.71 and 140.95

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Solution

The fourth proportional to 193.45, 266.71 and 140.95 is: 194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.45 : 266.71 = 140.95 : x
  2. Step 2: Convert to fraction form
    193.45/266.71 = 140.95/x
  3. Step 3: Cross multiply
    193.45x = 266.71 × 140.95
  4. Step 4: Simplify right side
    193.45x = 37,590.74
  5. Step 5: Solve for x
    x = 37,590.74/193.45
  6. Step 6: Final answer
    x = 194.32

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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.