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Finding the Fourth Proportional to 193.40, 267.02 and 149.06

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Solution

The fourth proportional to 193.40, 267.02 and 149.06 is: 205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 267.02 = 149.06 : x
  2. Step 2: Convert to fraction form
    193.40/267.02 = 149.06/x
  3. Step 3: Cross multiply
    193.40x = 267.02 × 149.06
  4. Step 4: Simplify right side
    193.40x = 39,802.00
  5. Step 5: Solve for x
    x = 39,802.00/193.40
  6. Step 6: Final answer
    x = 205.80

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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.