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Finding the Fourth Proportional to 193.50, 267.02 and 106.17

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Solution

The fourth proportional to 193.50, 267.02 and 106.17 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 267.02 = 106.17 : x
  2. Step 2: Convert to fraction form
    193.50/267.02 = 106.17/x
  3. Step 3: Cross multiply
    193.50x = 267.02 × 106.17
  4. Step 4: Simplify right side
    193.50x = 28,349.51
  5. Step 5: Solve for x
    x = 28,349.51/193.50
  6. Step 6: Final answer
    x = 146.51

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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.