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Finding the Fourth Proportional to 193.64, 266.78 and 178.13

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Solution

The fourth proportional to 193.64, 266.78 and 178.13 is: 245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 266.78 = 178.13 : x
  2. Step 2: Convert to fraction form
    193.64/266.78 = 178.13/x
  3. Step 3: Cross multiply
    193.64x = 266.78 × 178.13
  4. Step 4: Simplify right side
    193.64x = 47,522.63
  5. Step 5: Solve for x
    x = 47,522.63/193.64
  6. Step 6: Final answer
    x = 245.42

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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.