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Finding the Fourth Proportional to 215.50, 297.24 and 149.95

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Solution

The fourth proportional to 215.50, 297.24 and 149.95 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.50 : 297.24 = 149.95 : x
  2. Step 2: Convert to fraction form
    215.50/297.24 = 149.95/x
  3. Step 3: Cross multiply
    215.50x = 297.24 × 149.95
  4. Step 4: Simplify right side
    215.50x = 44,571.14
  5. Step 5: Solve for x
    x = 44,571.14/215.50
  6. Step 6: Final answer
    x = 206.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.