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Finding the Fourth Proportional to 215.67, 296.01 and 191.82

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Solution

The fourth proportional to 215.67, 296.01 and 191.82 is: 263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.67 : 296.01 = 191.82 : x
  2. Step 2: Convert to fraction form
    215.67/296.01 = 191.82/x
  3. Step 3: Cross multiply
    215.67x = 296.01 × 191.82
  4. Step 4: Simplify right side
    215.67x = 56,780.64
  5. Step 5: Solve for x
    x = 56,780.64/215.67
  6. Step 6: Final answer
    x = 263.28

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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.