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Finding the Fourth Proportional to 193.45, 266.89 and 127.93

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Solution

The fourth proportional to 193.45, 266.89 and 127.93 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.45 : 266.89 = 127.93 : x
  2. Step 2: Convert to fraction form
    193.45/266.89 = 127.93/x
  3. Step 3: Cross multiply
    193.45x = 266.89 × 127.93
  4. Step 4: Simplify right side
    193.45x = 34,143.24
  5. Step 5: Solve for x
    x = 34,143.24/193.45
  6. Step 6: Final answer
    x = 176.50

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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.