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Finding the Fourth Proportional to 151.90, 208.22 and 149.78

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Solution

The fourth proportional to 151.90, 208.22 and 149.78 is: 205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.90 : 208.22 = 149.78 : x
  2. Step 2: Convert to fraction form
    151.90/208.22 = 149.78/x
  3. Step 3: Cross multiply
    151.90x = 208.22 × 149.78
  4. Step 4: Simplify right side
    151.90x = 31,186.96
  5. Step 5: Solve for x
    x = 31,186.96/151.90
  6. Step 6: Final answer
    x = 205.32

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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.