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Finding the Fourth Proportional to 215.22, 296.37 and 194.58

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Solution

The fourth proportional to 215.22, 296.37 and 194.58 is: 267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.22 : 296.37 = 194.58 : x
  2. Step 2: Convert to fraction form
    215.22/296.37 = 194.58/x
  3. Step 3: Cross multiply
    215.22x = 296.37 × 194.58
  4. Step 4: Simplify right side
    215.22x = 57,667.67
  5. Step 5: Solve for x
    x = 57,667.67/215.22
  6. Step 6: Final answer
    x = 267.95

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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.