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Finding the Fourth Proportional to 215.97, 296.20 and 212.91

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Solution

The fourth proportional to 215.97, 296.20 and 212.91 is: 292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.97 : 296.20 = 212.91 : x
  2. Step 2: Convert to fraction form
    215.97/296.20 = 212.91/x
  3. Step 3: Cross multiply
    215.97x = 296.20 × 212.91
  4. Step 4: Simplify right side
    215.97x = 63,063.41
  5. Step 5: Solve for x
    x = 63,063.41/215.97
  6. Step 6: Final answer
    x = 292.00

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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.