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Finding the Fourth Proportional to 215.92, 322.34 and 189.82

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Solution

The fourth proportional to 215.92, 322.34 and 189.82 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 322.34 = 189.82 : x
  2. Step 2: Convert to fraction form
    215.92/322.34 = 189.82/x
  3. Step 3: Cross multiply
    215.92x = 322.34 × 189.82
  4. Step 4: Simplify right side
    215.92x = 61,186.58
  5. Step 5: Solve for x
    x = 61,186.58/215.92
  6. Step 6: Final answer
    x = 283.38

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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.