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Finding the Fourth Proportional to 193.49, 266.33 and 160.37

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Solution

The fourth proportional to 193.49, 266.33 and 160.37 is: 220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 266.33 = 160.37 : x
  2. Step 2: Convert to fraction form
    193.49/266.33 = 160.37/x
  3. Step 3: Cross multiply
    193.49x = 266.33 × 160.37
  4. Step 4: Simplify right side
    193.49x = 42,710.54
  5. Step 5: Solve for x
    x = 42,710.54/193.49
  6. Step 6: Final answer
    x = 220.74

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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.