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Finding the Fourth Proportional to 150.49, 205.82 and 149.95

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Solution

The fourth proportional to 150.49, 205.82 and 149.95 is: 205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.49 : 205.82 = 149.95 : x
  2. Step 2: Convert to fraction form
    150.49/205.82 = 149.95/x
  3. Step 3: Cross multiply
    150.49x = 205.82 × 149.95
  4. Step 4: Simplify right side
    150.49x = 30,862.71
  5. Step 5: Solve for x
    x = 30,862.71/150.49
  6. Step 6: Final answer
    x = 205.08

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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.