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Finding the Fourth Proportional to 193.65, 266.93 and 141.20

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Solution

The fourth proportional to 193.65, 266.93 and 141.20 is: 194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.65 : 266.93 = 141.20 : x
  2. Step 2: Convert to fraction form
    193.65/266.93 = 141.20/x
  3. Step 3: Cross multiply
    193.65x = 266.93 × 141.20
  4. Step 4: Simplify right side
    193.65x = 37,690.52
  5. Step 5: Solve for x
    x = 37,690.52/193.65
  6. Step 6: Final answer
    x = 194.63

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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.