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Finding the Fourth Proportional to 151.73, 208.02 and 149.00

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Solution

The fourth proportional to 151.73, 208.02 and 149.00 is: 204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.73 : 208.02 = 149.00 : x
  2. Step 2: Convert to fraction form
    151.73/208.02 = 149.00/x
  3. Step 3: Cross multiply
    151.73x = 208.02 × 149.00
  4. Step 4: Simplify right side
    151.73x = 30,995.28
  5. Step 5: Solve for x
    x = 30,995.28/151.73
  6. Step 6: Final answer
    x = 204.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.