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Finding the Fourth Proportional to 215.80, 297.81 and 137.16

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Solution

The fourth proportional to 215.80, 297.81 and 137.16 is: 189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 297.81 = 137.16 : x
  2. Step 2: Convert to fraction form
    215.80/297.81 = 137.16/x
  3. Step 3: Cross multiply
    215.80x = 297.81 × 137.16
  4. Step 4: Simplify right side
    215.80x = 40,847.62
  5. Step 5: Solve for x
    x = 40,847.62/215.80
  6. Step 6: Final answer
    x = 189.29

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