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Finding the Fourth Proportional to 193.97, 291.12 and 101.48

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Solution

The fourth proportional to 193.97, 291.12 and 101.48 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.97 : 291.12 = 101.48 : x
  2. Step 2: Convert to fraction form
    193.97/291.12 = 101.48/x
  3. Step 3: Cross multiply
    193.97x = 291.12 × 101.48
  4. Step 4: Simplify right side
    193.97x = 29,542.35
  5. Step 5: Solve for x
    x = 29,542.35/193.97
  6. Step 6: Final answer
    x = 152.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.