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Finding the Fourth Proportional to 193.49, 266.88 and 123.48

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Solution

The fourth proportional to 193.49, 266.88 and 123.48 is: 170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 266.88 = 123.48 : x
  2. Step 2: Convert to fraction form
    193.49/266.88 = 123.48/x
  3. Step 3: Cross multiply
    193.49x = 266.88 × 123.48
  4. Step 4: Simplify right side
    193.49x = 32,954.34
  5. Step 5: Solve for x
    x = 32,954.34/193.49
  6. Step 6: Final answer
    x = 170.31

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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.