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Finding the Fourth Proportional to 151.90, 211.07 and 149.96

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Solution

The fourth proportional to 151.90, 211.07 and 149.96 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.90 : 211.07 = 149.96 : x
  2. Step 2: Convert to fraction form
    151.90/211.07 = 149.96/x
  3. Step 3: Cross multiply
    151.90x = 211.07 × 149.96
  4. Step 4: Simplify right side
    151.90x = 31,651.84
  5. Step 5: Solve for x
    x = 31,651.84/151.90
  6. Step 6: Final answer
    x = 208.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.