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Finding the Fourth Proportional to 215.09, 296.55 and 149.61

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Solution

The fourth proportional to 215.09, 296.55 and 149.61 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.09 : 296.55 = 149.61 : x
  2. Step 2: Convert to fraction form
    215.09/296.55 = 149.61/x
  3. Step 3: Cross multiply
    215.09x = 296.55 × 149.61
  4. Step 4: Simplify right side
    215.09x = 44,366.85
  5. Step 5: Solve for x
    x = 44,366.85/215.09
  6. Step 6: Final answer
    x = 206.28

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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.