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Finding the Fourth Proportional to 215.70, 322.21 and 194.00

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Solution

The fourth proportional to 215.70, 322.21 and 194.00 is: 289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.70 : 322.21 = 194.00 : x
  2. Step 2: Convert to fraction form
    215.70/322.21 = 194.00/x
  3. Step 3: Cross multiply
    215.70x = 322.21 × 194.00
  4. Step 4: Simplify right side
    215.70x = 62,507.37
  5. Step 5: Solve for x
    x = 62,507.37/215.70
  6. Step 6: Final answer
    x = 289.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.