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Finding the Fourth Proportional to 151.14, 207.32 and 149.84

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Solution

The fourth proportional to 151.14, 207.32 and 149.84 is: 205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 207.32 = 149.84 : x
  2. Step 2: Convert to fraction form
    151.14/207.32 = 149.84/x
  3. Step 3: Cross multiply
    151.14x = 207.32 × 149.84
  4. Step 4: Simplify right side
    151.14x = 31,065.72
  5. Step 5: Solve for x
    x = 31,065.72/151.14
  6. Step 6: Final answer
    x = 205.54

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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.