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Finding the Fourth Proportional to 216.62, 298.90 and 137.80

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Solution

The fourth proportional to 216.62, 298.90 and 137.80 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.62 : 298.90 = 137.80 : x
  2. Step 2: Convert to fraction form
    216.62/298.90 = 137.80/x
  3. Step 3: Cross multiply
    216.62x = 298.90 × 137.80
  4. Step 4: Simplify right side
    216.62x = 41,189.16
  5. Step 5: Solve for x
    x = 41,189.16/216.62
  6. Step 6: Final answer
    x = 190.14

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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.