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Finding the Fourth Proportional to 215.90, 297.87 and 138.32

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Solution

The fourth proportional to 215.90, 297.87 and 138.32 is: 190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 297.87 = 138.32 : x
  2. Step 2: Convert to fraction form
    215.90/297.87 = 138.32/x
  3. Step 3: Cross multiply
    215.90x = 297.87 × 138.32
  4. Step 4: Simplify right side
    215.90x = 41,201.38
  5. Step 5: Solve for x
    x = 41,201.38/215.90
  6. Step 6: Final answer
    x = 190.84

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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.