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Finding the Fourth Proportional to 193.47, 266.92 and 160.66

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Solution

The fourth proportional to 193.47, 266.92 and 160.66 is: 221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.47 : 266.92 = 160.66 : x
  2. Step 2: Convert to fraction form
    193.47/266.92 = 160.66/x
  3. Step 3: Cross multiply
    193.47x = 266.92 × 160.66
  4. Step 4: Simplify right side
    193.47x = 42,883.37
  5. Step 5: Solve for x
    x = 42,883.37/193.47
  6. Step 6: Final answer
    x = 221.65

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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.