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Finding the Fourth Proportional to 193.28, 266.31 and 177.55

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Solution

The fourth proportional to 193.28, 266.31 and 177.55 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.28 : 266.31 = 177.55 : x
  2. Step 2: Convert to fraction form
    193.28/266.31 = 177.55/x
  3. Step 3: Cross multiply
    193.28x = 266.31 × 177.55
  4. Step 4: Simplify right side
    193.28x = 47,283.34
  5. Step 5: Solve for x
    x = 47,283.34/193.28
  6. Step 6: Final answer
    x = 244.64

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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.