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Finding the Fourth Proportional to 215.92, 297.86 and 142.32

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Solution

The fourth proportional to 215.92, 297.86 and 142.32 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 297.86 = 142.32 : x
  2. Step 2: Convert to fraction form
    215.92/297.86 = 142.32/x
  3. Step 3: Cross multiply
    215.92x = 297.86 × 142.32
  4. Step 4: Simplify right side
    215.92x = 42,391.44
  5. Step 5: Solve for x
    x = 42,391.44/215.92
  6. Step 6: Final answer
    x = 196.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.