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Finding the Fourth Proportional to 215.90, 322.12 and 196.42

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Solution

The fourth proportional to 215.90, 322.12 and 196.42 is: 293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 322.12 = 196.42 : x
  2. Step 2: Convert to fraction form
    215.90/322.12 = 196.42/x
  3. Step 3: Cross multiply
    215.90x = 322.12 × 196.42
  4. Step 4: Simplify right side
    215.90x = 63,270.81
  5. Step 5: Solve for x
    x = 63,270.81/215.90
  6. Step 6: Final answer
    x = 293.06

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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.